I NEED HELP ASAP! The two cylinders below are similar. What is the volume of the larger cylinder?

I NEED HELP ASAP! The Two Cylinders Below Are Similar. What Is The Volume Of The Larger Cylinder?

Answers

Answer 1

Answer:

E

Step-by-step explanation:

We can find the volume either by finding the scale factor between the two figures and multiplying the first cylinder's volume by it or simply finding the diameter of the second cylinder and doing the equation for volume of a cylinder.

I chose the second way to work out.

Since the two cylinders are similar, we can simply set up a proportion to find the diameter, d, of the second cylinder:

[tex]\frac{6}{d}=\frac{4.5}{6}\\ \\ 4.5d=36\\ d=8[/tex]

The formula for volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is simply d/2 so the radius of the second cylinder is 8/2 or 4.

Thus, we have

[tex]V=\pi *4^2*6\\V=\pi *16*6\\V=96\pi \\V=301.59[/tex]


Related Questions

What is the volume of this rectangular prism? 1cm,6cm,2cm

Answers

Step-by-step explanation:

The result is 12 cm³ because to get the volume of a figure you have to multiply all the characters

Find the value of x if a, b, and c are collinear points and b is between a and c. ab=x 6,bc=3x−5,ac=36−x

Answers

The value of x if a, b, and c are collinear points and b is between a and c : 7

What is collinear points?

Collinear points are those that are situated on the same line of sight or within a single line. In Euclidean geometry, two or more points are said to be collinear if they are located on a line either close to or far from one another.

According to the given information:

if A, B, and C are col-linear points and B is between A and C

then

AB+BC=AC

AB=x+6

BC=3x-5

AC=36-x

substituting value:

(x+6)+(3x-5)=36-x

(x+3x)+(6-5)=36-x

4x+1=36-x

4x+x=36-1

5x=35

x=35/5

x=7

The value of x is 7

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M angle JKL=
Help me please thank u so much

Answers

Answer:

22°

Step-by-step explanation:

Since IJ is a diameter, arc LJ measures 68 degrees.

Therefore, the measure of angle JKL is (112-68)/2=22°

I need to know how to solve this

Answers

Answer:

To find angle y you subtract the two angles form 180 degrees because it is a straight line. Then you subtract angle y and 72 from 180 because a triangle adds up to 180 degrees and you get angle x.

Hope this helps, ask if you have any more questions!

5. Mr. Griffin asked the students to form the number eighty-four million, five
hundred thirty thousand, two hundred sixteen. Ben still had the number card
with the 3. In what place was Ben standing? Show your work in the space
below. Remember to check your solution

Answers

Answer:

Ben was standing in the

Step-by-step explanation:

84 000 000

+ 00 530 000

+ 00 000 216

_________________

84 530 216

From this u can see that the 3 is in the ten thousands place

A. Undefined b. Zero c.negative b. Positive

Answers

I believe the slope is negative. If it was positive then it would have been " / "

Answer:

C

Step-by-step explanation:

• A vertical line has an undefined slope

• A horizontal line has a slope of zero

• A line sloping downwards from left to right has a negative slope

• A line sloping upwards from left to right has a positive slope

-------------------------------------------------------------------

the line here slopes downwards from left to right and has a negative slope

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with length 14 centimeters and a perimeter of 96 centimeters. what is the approximate area of the hexagon?

Answers

The approximate area of the hexagon  = 672 cm²

What is hexagon ?

In geometry, hexagon is a polygon with 6 sides. If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon. In other words, sides of a regular hexagon are congruent.

apothem of the hexagon = 14 cm

perimeter of the hexagon = 96 cm

Area of the hexagon = [(3√3) / 2] a²     ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2

A = (14 cm * 16 cm) / 2

A = 224 / 2

A = 112 cm²

The approximate area of the hexagon = 112 cm²  * 6 triangles = 672 cm²

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Answer: D). 672 cm2

Step-by-step explanation:

Find the measure of the third angle of a triangle if the measures of the other two angles are given. 35.5 and 82.6

Answers

Answer:

61.9°

Step-by-step explanation:

The angles of a triangle always add up to 180°. Using this information along with the values of two of the three angles, we can set up an equation to find the measure of the third angle.

Set up an Equation

Let the measure of the third angle be represented as "x". The first angle + the second angle + the third angle must equal 180 therefore...

[tex]35.5+82.6+x=180[/tex]

Solve the Equation

Start by adding the like terms on the left side of the equation:

[tex]118.1+x=180[/tex]

Then, subtract both sides by 118.1:

[tex]x=61.9[/tex]

Therefore the measure of the third angle of the triangle is 61.9°.

How does the mean absolute deviation (mad) of the data in set 1 compare to the mean absolute deviation of the data in set 2? set 1: 12, 8, 10, 50 set 2: 13, 9, 8 the mad of set 1 is 13 less than the mad of set 2. the mad of set 1 is 13 more than the mad of set 2. the mad of set 1 is 2 more than the mad of set 2. the mad of set 1 is 2 less than the mad of set 2.

Answers

The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.

How to estimate the Mean Absolute Deviation from the given data?

Set 1: 12, 8, 10, 50

Set 2: 13, 9,8

To determine the mean for each set

Mean = totality of elements/number of elements

Mean of Set 1:

[tex]$=\frac{12+8+10+50}{4}[/tex]

[tex]$=\frac{80}{4}=20$[/tex]

Mean of Set 2:

[tex]$=\frac{13+9+8}{3}[/tex]

[tex]$=\frac{30}{3}=10$[/tex]

To determine the mean absolute deviation (MAD) of the data in each set.

M.A.D of Set 1:

[tex]$=\frac{|12-20|+|8-20|+|10-20|+|50-20|}{4}[/tex]

[tex]$=\frac{8+12+10+30}{4}=\frac{60}{4}=15$$[/tex]

M.A.D of Set 2:

[tex]$=\frac{|13-10|+|9-10|+|8-10|}{3}[/tex]

[tex]$=\frac{3+1+2}{3}=\frac{6}{3}=2$[/tex]

The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.

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Simplify the expression. h4(h3)–6

Answers

Answer:

[tex]h^7-6[/tex]

Step-by-step explanation:

1) Regroup terms.

[tex]h^4h^3-6[/tex]

2) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].

[tex]h^{4+3}-6[/tex]

3) Simplify 4 + 3 to 7.

[tex]h^7-6[/tex]

A lampshade made from a piece of sheet plastic has a radius of the inner circle to be 7cm and that of the outer circle is 28cm. if its arc subtends an angle of 315 degree at the center, what is the area of the plastic used to form the lampshade

Answers

The area of the plastic used to form the lampshade is 2021.25 square centimeters

How to determine the area of the plastic used to form the lampshade?

The given parameters in the question are:

Outer radius, R = 28 cm

Inner radius, r = 7 cm

Angle, ∅ = 315

The area of the plastic used to form the lampshade is calculated using the following area  of sector formula

A = ∅/360 * π(R² - r²)

Substitute the known values in the above equation

A = 315/360 * 22/7 * (28² - 7²)

Evaluate the exponents

A = 315/360 * 22/7 * (784 - 49)

Evaluate the difference

A = 315/360 * 22/7 * 735

Evaluate the product

A = 2021.25

Hence, the area of the plastic used to form the lampshade is 2021.25 square centimeters

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From the figure below, identify all pairs of alternate interior and alternate exterior angles

Answers

A.

alternate exterior

exterior means outside

like a front entrance to a home

1. o & t

2. n & u

B.

alternate interior

interior means inside

like as if its inside a house

1. p & s

2. q & r

( p & s ) AND ( q & r ) both look like the letter Z

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HELPPP There are 30 pencils in a box (15 pairs). 2 pair(s) are yellow,
3 pairs are brown, and the rest are tan. What is the probability of
pulling out a brown pencil on the first draw?
Write your answer as a reduced fraction.

Answers

Answer:

1/10

Step-by-step explanation:

Probability= number of brown pencil/number of pencil in the box

3/30

=1/10

Answer: 1/5

Step-by-step explanation:

30/15 pairs is 2 pencils per pair. That means there are 4 yellow pencils, 6 brown pencils, and the rest are tan.

30-10=20. There are 20 tan pencils.

6/30 is the probability of a brown pencil being pulled out.

This simplifies to 1/5.

There are 8 blue socks in Sean’s drawer. After he removes 3 blue socks and 4 non-blue socks, the probability to pick a blue sock at random becomes 1/7. How many non-bluesocks were in Sean’s drawer originally?

Answers

Answer:

34

Step-by-step explanation:

you first write the equation:

(8-3) / (8+x-7) = 1/7, where x is the number of non blue socks

so, 5/(1+x) = 1/7

1+x = 35, so x=34

Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculator to solve.

Answers

The volume of the figure is 1, 005. 4 mi³

Volume of a cylinder

Note that the figure is a cylinder

The formula for volume of a cylinder is given as;

Volume = πr²h

Where

h = height = 5 mi

r = radius = 8mi

Substitute into the volume

Volume = 3. 142 × 8 × 8 × 5

Volume = 1,005. 4 mi³

Thus, the volume of the figure is 1, 005. 4 mi³

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Kwame must earn more than 16 1616 stars per day to get a prize from the classroom treasure box. Write an inequality that describes S SS, the number of stars Kwame must earn per day to get a prize from the classroom treasure box.

Answers

The inequality that describes the number of stars S that Kwame must earn per day to get a prize from the classroom treasure box is: S > 16.

What is the inequality that models this situation?

The number of stars that he earns is represented by the variable S. He must earn more than 16 stars to earn a prize from the classroom treasure box, hence the inequality that represents the desired amount is given as follows:

S > 16.

Which is read as:

S is greater than 16, which is derived from the Fact that Kwame must earn more than 16 stars per day to get a prize, as stated in the problem.

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How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?

Answers

Answer:

3024

Step-by-step explanation:

Each chosen member (out of 9 members) will occupy a different position

out of these four (president , vice-president , secretary , treasurer).

So, here we have to calculate the Number of Permutations of 9 members Taken 4 at a Time :

= 9P4

= 9 × 8 × 7 × 6

= 3024

PLS HELP PLS

Figure B is a scaled copy of Figure A.


What is the scale factor from Figure A to Figure B?

Answers

The scale factor from Figure A to Figure B is 4

How to determine the scale factor from Figure A to Figure B?

From the question, we have the following statement:

Figure B is a scaled copy of Figure A.

The corresponding side lengths of figure A and figure B are:

Figure A = 10

Figure B = 40

The scale factor from Figure A to Figure B is then calculated as:

Scale factor = Figure B/Figure A

Substitute the known values in the above equation

Scale factor = 40/10

Evaluate the quotient

Scale factor = 4

Hence, the scale factor from Figure A to Figure B is 4

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What number is represented by the question mark?
111= 0, 3213=0, 7756= 1,7662= 2, 6855= 3, 8096= 5,6666=4 . 8193= 3,9313= 1,8639= 4,1234=0, 2581 = 2,7186= 3, 2679=?

Answers

Based on the sequence of numbers given, the number that is represented by the question mark is 2679 = 2.

What is the sequence given?

The sequence requires that you count the number of circles that a group of number has. For instance 9 has one circle and 8 has two circles because of the way they are drawn.

The numbers 111, 3213, and 1234 will therefore be equal to 0 because there is no number that has a circle in it.

The number 8096 however, will be equal to 5 because there are 5 circles. Two in 8. 1 in 0. 1 in 9. 1 in 6.

This means that the last number of 2679 will therefore be equal to 2 because there are two circles. One circle is in 6, and the other circle is in  9.

In conclusion, the number represented by the question mark is 2.

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The angle between the generator and the central axis of a double-napped cone is 60°. a plane intersecting the cone makes an angle of 50° with the central axis. which conic section is formed?

Answers

The right option is (c).

As a result of the plane intersecting the cone here at an angle of 50° being less than the angle between the generator and central axis at an angle of 50°, a conic section is created.

What is Hyperbola?

A smooth curve in a plane known as a hyperbola is one whose geometric characteristics or equations for which it is the solution set characterize it. Two parts of a hyperbola, known as connected components or branches, are mirror reflections of one another and resemble two infinite bows.

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I understand that the question you are looking for is:

"The angle between the generator and the central axis of a double-napped cone is 60°. A plane intersecting the cone makes an angle of 50° with the central axis. Which conic section is formed?"

(a)circle

(b)ellipse

(c)hyperbola

(d)parabola

Simplify 7 + (−3)
A: -10
B: -4
C: 4
D: 10

Answers

Answer: 4

Step-by-step explanation:

[tex]7+(-3)\\=7-3\\=\boxed{4}[/tex]

Rearrange the formula to highlight the radius

Answers

[tex]\displaystyle\\Answer:\ r=\sqrt{\frac{3V}{\pi h} } .[/tex]

Step-by-step explanation:

[tex]\displaystyle\\V=\frac{1}{3} \pi r^2h.\\[/tex]

Multiply both sides of the equation by 3:

[tex]3V=\pi r^2h.[/tex]

Divide both sides of the equation by πh:

[tex]\displaystyle\\\frac{3V}{\pi h} =\frac{\pi r^2h}{\pi h} \\\frac{3V}{\pi h}=r^2\\ r^2=\frac{3V}{\pi h} .\\r*r=\sqrt\frac{3V}{\pi h} *\sqrt{\frac{3V}{\pi h} } \\r=\sqrt{\frac{3V}{\pi h} } .\\[/tex]

Select the correct answer.
Consider this expression.
x-4
2(x+4)
For which product or quotient is this expression the simplest form?
O A.
B.
O C.
O D.
2x+8
x²16
x²16
2x+8
2x+8
x²16
x²16
2x+8
÷
÷
.
.
x² + 8x + 16
x +4
x +4
x² + 8x + 16
x² + 8x + 16
x + 4
x+4
x² + 8x + 16

Answers

The rational expression that results into x-4/2(x+4) is x²-16/2x+8 * x+4/x²+8x+16

Multiplying rational expressions

Rational expressions are written in the form a/b where a and b are integers.

According to the question, we need to determine the expression that is equal to x-4/2(x+4)

From the fourth option;

x²-16/2x+8 * x+4/x²+8x+16

Factorize the quadratic part to have;

x²-16/2x+8 * x²+8x+16/x+4

(x+4)(x-4)/2(x+4) * x+4/(x+4)^2

Cancel out the common expression to have;

x-4 * 1/2(x+4)

x-4/2(x+4)

Hence the rational expression that results into x-4/2(x+4) is x²-16/2x+8 * x+4/x²+8x+16

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Using the online tool, find two different combinations of radius and height that produce two cylinders with nearly the same volume. Record the
dimensions and volumes of the two cylinders below.

Answers

The radii and the heights of the two cylinders are

Cylinder 1: Height = 6 and Radius = 5Cylinder 2: Height = 10 and Radius = 3.87

How to determine the combinations of radius and height?

The volume of a cylinder is

V = πr²h

When the volumes of two cylinders are almost equal, then it means that:

V1 ≈ V2

This gives

πr²h ≈ πR²H

Divide both sides by π

r²h ≈ R²H

Assume that r = 5 and h = 6

So, we have:

5² * 6 ≈ R²H

Evaluate the product

150 ≈ R²H

Assume H = 10

So, we have:

150 ≈ R² * 10

Divide by 10

R² ≈ 15

Take the square root of both sides

R ≈ 3.87

Hence, the radii and the heights of the two cylinders are

Cylinder 1

Height = 6 and Radius = 5

Cylinder 2

Height = 10 and Radius = 3.87

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Answer:

These radius and height values will produce the same volume:

radius = 6 units and height = 18 units

radius = 9 units and height = 8 units

You decide that you want to purchase a Tesla SUV. You borrow \$95,000 for the purchase. You agree to repay the loan by paying equal monthly payments of \$1,200 until the balance is paid off. If you're being charged 6\% per year, compounded monthly, how long will it take you to pay off the loan?

Answers

Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}[/tex]

[tex]A(t) = 95000(1.005)^{12t}[/tex]

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

[tex]14400t = 95000(1.005)^{12t}[/tex]

Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

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Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Last one

Because if we simplify

(4x³y-6xy³)/2xy(2xy(2x²-3y²))/2xy2x²-3y²

Verified

Answer:

D is the correct Answer.

Step-by-step explanation:

4x^3+-6xy^3

      2xy

When dividing exponents you will subtract. Leaving you with 2x^3-3y^2.

Therefore your answer is D.

How long does it take for millions of dollars worth of emerald transactions to occur in bogota? a year three months a day a week

Answers

Answer: It will be A Day

Step-by-step explanation:

Find the value of each variable.

Answers

one of the properties of a cyclic quad (four sided shape in eucliean geometry) is that the opposite sides add up to 180°

So in this case to get x we= 180°-105°=285°

therefore x is 285°

A rectangular prism with a square base is cut from the center of a triangular prism. each side of the square base measures 1.7 units.what is the volume of the shaded solid? round to the nearest tenth of a cubic unit.11.6 units345.4 units357.0 units368.6 units3

Answers

Rounding to the closest tenth of a cubic unit, the shaded solid's volume is 45.4 cubic units.

What is rectangular prism?

The 3D shape of a rectangular prism has six rectangular faces. Multiply a rectangular prism's three dimensions—length, width, and height—to determine its volume. Cubic units are used to measure volume.

According to the given information:

The following formula can be used to determine a rectangular prism's volume:

Vr = Height * Width * Length

Triangular prism volume Vt is determined by its base area and height.

concerning the rectangular prism;

Vr = 1.7 × 1.7 × 4

Vr = 11.56 units in 3

Regarding the triangular prism

Vt = 0.5 × 5.7 × 5 × 4

Vt = 57 unit3

Volume of the solid shaded by Vt - Vr

The solid's shaded volume is equal to 57 - 11.56.

The colored solid's volume is 45.44 cubic units.

Due to this, the shaded solid's volume, when rounded to the nearest tenth of a cubic unit, is 45.4 cubic units.

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Using addition rules, show how to add the two real numbers. 7 + (-14)

Answers

Hello there! Using the rules of addition, we can identify that when adding a positive to a negative number, the result shifts toward the positive side but takes the sign of the greater number. It will be demonstrated in this problem to simplify how problems like this are solved:

Step 1: Rewrite the problem

-14 + 7 = ?

Step 2: Since we’re adding 7 to a negative number, that means the negative number decreases by the quantity it’s being added by.

This means we would have to really subtract 7 from 14 to get 7.

Step 3: Keep the sign of the greater number

Since 14 is greater than 7, we will keep the negative sign in accordance.

Step 4: Simplify

-14 + 7 = -7

Using the rules of addition, we will find that -14 + 7 = -7. If you need additional help, let me know and I will gladly assist you.

Answer:

- 7

Step-by-step explanation:

note that

+ (- ) = - ( adding a negative is equivalent to subtraction )

- (- ) = + ( subtracting a negative is equivalent to addition )

then

7 + (- 14) = 7 - 14 = - 7

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