Find the volume of a right circular cone that has a height of 10.7 in and a base with a diameter of 8.1 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer 1

Answer:

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

And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:

[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]

Then we can find the volume with the first formula and replacing we got:

[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]

The final answer for this case would be 551.4 cubic inches

Step-by-step explanation:

The volume for a right circular cone is given by this formula:

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

And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:

[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]

Then we can find the volume with the first formula and replacing we got:

[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]

The final answer for this case would be 551.4 cubic inches

Answer 2

Answer V:183.8^3 previous answer is wrong


Related Questions

At a bake sale, there are 50 chocolate cupcakes and 30 vanilla cupcakes. Of these cupcakes, 15 chocolate and 5 vanilla have cream filling. What percentage of the cupcakes have cream filling?

Answers

Answer:

25%

Step-by-step explanation:

50+30 = 80

15 + 5 = 20

20/80 = 0.25, or 25%

Answer:

25% of cupcakes have cream filling

Step-by-step explanation:

15+5=20

50+30=80

20÷80=0.25

0.25×100=25

What is the volume? Please answer asap.

Answers

Answer:

20

Step-by-step explanation:

can someone please help me with this question "when trying to find my heart rate, i counted 25 beats in 20 seconds. How many beats would that be per minute? please explain." ​

Answers

Answer:

75

Step-by-step explanation:

because if you multiply 20 and 25 by 3 you get 60 and 75, 60 being the amount of seconds are in a second and 75 being your heartrate per minute.

What is the length of AB?

Answers

Answer:

10

Step-by-step explanation:

You use the distance formula by finding the x and y difference, and you get 8, for x value, 6 for y value, and then you use Pythagorean theorem to get 10 for AB.

10 united that the answer

cathy uses 7.9 pints of blue paint and white paint to paint her bedroom walls 3/4 of this amount is blue paint and the rest is white paint how many pints of white paint did she use to paint her bedroom

Answers

Answer:

1.975 pints of white paint

Step-by-step explanation:

Let blue paint represents by 'b' and white paint represents by 'w'.

Then according to the question

b + w = 7.9 pints .......(1)

Amount of blue paint = [tex]\frac{3}{4}[/tex] of the total amount

                                   = [tex]\frac{3}{4}\times 7.9[/tex]

                                   = 5.925 pints

Hence the amount of blue paint is 5.925 pints.

Now putting the value of 'b' in equation (1)

5.925 + w = 7.9

w = 7.9 - 5.925

w = 1.975 pints

Cathy used 1.975 pints of white paint to paint her bedroom.

What is the slope of the line that passes through the points (2, 3) and (-2, 6)?

Answers

Answer:

Step-by-step explanation:

(6-3)/(-2-2) = -(3/4)

Answer:

-3/4

Step-by-step explanation:

You use the slope formula y2 - y1

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

                                             x2- x1

Plug the numbers in and subtract, simplify if possible.

WHen you plug it in it should look like this.   6 - 3            3

                                                                         ----------  = -  ---

                                                                         -2 - 2            4  

How to write (X+3)(x+5) in a equivalent expression

Answers

Answer:

x^2 +8x+15

Step-by-step explanation:

(X+3)(x+5)

FOIL

first  x^2

outer  5x

inner 3x

last  15

Add together

x^2 +5x+3x+15

x^2 +8x+15

Answer:

Step-by-step explanation:

(x+3)(x+5)=x²+5x+3x+15

x²+8x+15 is equivalent to: (x+3)(x+5)

A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.


Determine the probability that the card is an E

Answers

Answer: 1/10 or 10%

Step-by-step explanation:

The required probability that the card is an E will be 0.1%.

What is probability?

A Probability can be defined as the ratio of favorable outcomes to the total number of events.

P(E) = Number of favorable outcomes / total number of outcomes

A set of cards has sample =  U E A R Q H C H L A

Total number of sample s(n) = 10

We need to find the probability that the card is an E

For probability for  E,

  p(E)= 1 / 10 = 0. 1%

Thus, the required probability that the card is an E will be 0.1%.

Learn more about probability here:

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Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?

Answers

Answer:

Step-by-step explanation:

Notice that the inputs {5, -8, -1, -5} are all different.  So we can immediately conclude that this is a function.

If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.

25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5

Answers

Answer:

no solutions

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

Subtract 13 from each side

(X-2)^2/3 + 13-13 = 5-13

(x-2) ^2/3 = -8

Raise each to the 3/2 power

(x-2) ^2/3  ^3/2= -8^3/2

(x-2) = (-512) ^1/2

We cannot take the square root of a negative number and remain in the real number system

There are no solutions

Answer:

No real solutions

Imaginary/complex solutions:

x = 2 +/- 16sqrt(2)i

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

(X-2)^2/3 = -8

(X - 2)² = (-8)³

X - 2 = +/- sqrt(-512)

No real solution

x = 2 +/- 16sqrt(2)i

(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5

[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5

(-512)^⅓ + 13 = 5

-8 + 13 = 5

5 = 5

Someone please help me

Answers

4x + 12x = 320
16x = 320
x = 20

Step-by-step explanation:

4x + 12x = 320 (given in picture)

16x = 320 (combine like terms: 4+12 = 16)

x = 20 (isolate x for answer: 320/16 is 20)

:)

Liza comes to the swimming pool once every 6 days. Jenny comes once every 4 days and Olga comes once every 10 days. This Monday all of them were in the pool.
How many days after this Monday will all of them meet at the swimming pool again?

Answers

Answer:

60 days

Step-by-step explanation:

L.C.M. of 6,4,10=60

as 6=2×3

4=2×2

10=2×5

L.C.M. =2×3×2×5=60

after 60 days they will again together.

what is the y value of the solution to the following system of linear equations?

Answers

Answer:

y = 3

Step-by-step explanation:

Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.

Answers

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Please Find the surface area of the sphere. Round your answer to the nearest hundredth.

Answers

The first thing I did was to be a part of the world and the other is a great way to get the best out of the way and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am

please help me i really need to pass.

Answers

The answer is B. Because X and Z are considered congruent.

Fun Tees is offering a 30% discount on all merchandise. Find the discounted price of a T-shirt originally priced at $16. Solve in at least two ways.

Answers

Answer:

Step-by-step explanation:

Discount = % discount × cost price given.

Discounted price = cost price - discount

% discount = 30%

cost price given = $16

Discount = % discount × cost price given.

= (30/100) × $16

= $4.8

Giveaway price = $16 - $4.8

= $11.2

Which number has the least value?

Answers

Answer:

Your annswer is b

Step-by-step explanation: because it is least than all of the others

The number that has the least value is given as -13.142.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.

Write all the numbers in one equivalent form as below,

⇒ |-10.869| = 10.869

⇒ -14⁶/₇ = -14 + 6/7 = -13.142

⇒ 9.21

⇒ |-10.25| = 10.25

It is clear from the equivalent form that the least value is -13.142.

Hence, the the least value number is obtained as -13.142.

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what is the volume of the solid​

Answers

Answer:

204 cubic feet

Step-by-step explanation:

The formula for the volume of a rectangular prism is simply to multiply together the length, width, and height. In this case, 6*17*2=204 cubic feet. Hope this helps!

Answer:

do 16x17 divided by 2

Step-by-step explanation:

:)

PLSSS HELP!! WILL GIVE BRAINLIEST!

Answers

Answer:

Although it's blurry, I believe y is equal to 3.

Step-by-step explanation:

You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.

Answer:

y =  [tex]2 \frac{11}{12}[/tex] gallons

Step-by-step explanation:

The water run at a constant speed with the slope of 5/12.

Slope-intercept form would be y = 5/12x.

So if we were to plug it in the equation,

y = 5/12 (7) = 35/12 or 2 11/12.

Hope this helps ;D

Carys is checking her tax bill for the last year

Answers

Answer:

i dont under stand the question

Step-by-step explanation:

Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.

Answers

Question:

Anderson’s Nursery was choosing between two different greenhouses.

2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.

Which statements are true about the greenhouses? Select two options.

A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.

Answer:

Options B & C are correct.

Step-by-step explanation:

Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

L = 12 m

w = 12 m

h = 10 m

To find the volume of this rectangular prism, let's use the formula:

V = w*h*l

V = 12 * 12 * 10

V = 1440 m³

Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

b = 12 x 12

h = 8

The volume of a square pyramid formula is:

V = ⅓*a²h

V = ⅓*12²*8

V = 384 m³

To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.

V = 12*12*10 + ⅓*12²*8

V = 1440 + 384 = 1824m³

Therefore, the space inside greenhouse 1 is 1824m³

Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.

b = 12 m

h = 8 m

height of prism = 12 m

To find the volume of a triangular prism, we have:

½*(bh) * h

V = ½(12*8)*12

V = 576 m³

To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.

V = (12 * 12 * 10) + (½(12*8)*12)

V = 1440 + 576

V = 2016 m³

Therefore, the space inside greenhouse 2 is 2016m³

From the calculations above the correct options would be:

(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

Options A, D and E are wrong.

Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.

Answer:

THE ANSWERS ARE.... B AND C

B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

Step-by-step explanation:

i just took it on EDGE 2020. I hope it helps :)

What is the slope of the line that passes through (1,-19) and (-2,-7)?

Answers

The formula for the slope of a line is m = (y2 - y1) / (x2 - x1).

Point 1 = (1, -19)

Point 2 = (-2, -7)

m = (-7 - -19) / (-2 - 1)

m = (-7 + 19) / (-2 - 1)

m = 12 / -3

m = -4

Hope this helps! :)

I Know It’s A Bit Much But U Would Be Doing Me A Huge Favor

Answers

Answer:

1. x^8

2.1

3.x^15

4.x^10

5.x^6

6.x^5y^5

7.x^-6

8.x^9

9.x^14

10.x^5

11.x^-1

12.x^11

Step-by-step explanation:

Which is the equation of the graphed line written in
standard form?
y = x
0 x 1/2y = 0
© x-y = 0
5-3211 2
3
4
5
X
o y = 2 x

Answers

Answer:

x - y = 0

Step-by-step explanation:

When y = x is written in standard form, it equals x - y = 0

0 + y = x

   - y   - y

0 = x - y

If this answer is correct, please make me Brainliest!

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

88 inches

Step-by-step explanation:

The given bicycle has a tyre that is 28 inches in diameter.

How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.

This is calculated using the formula:

C =\pi \: d

We substitute the diameter and

\pi =  \frac{22}{7}

C =  \frac{22}{7}  \times 28

This simplifies to

C =22 \times 4

88 \: inches

help ASAP 20 POINTS!!!!!!!

Answers

Answer:

fraction 2/3

decimal 0.66666

percentage 66.70%

Step-by-step explanation:

Hope this helps.

Answer:

Fraction Die: 1/6

Decimal Die: 0.16 or 0.2

Percentage Die: 16.6% or 17%

Fraction Spinner: 1/2

Decimal Spinner: 0.5

Percentage Spinner: 50%

Step-by-step explanation:

There are two of each color in the spinner, so it is a 50% chance of getting yellow.

There are 6 faces in the die so the chance of getting a 4 is 1/6

The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.

Answers

Answer:

The ballast bag hits the ground after 6 seconds.

Step-by-step explanation:

Suppose there was a small typing mistake.

The height of the ball, after t seconds, is given by the following equation:

[tex]f(t) = -16t^{2} + 576[/tex]

After how many seconds t does the ballast bag hit the ground.

This is t for which f(t) = 0. So

[tex]f(t) = -16t^{2} + 576[/tex]

[tex]-16t^{2} + 576 = 0[/tex]

[tex]16t^{2} = 576[/tex]

[tex]t^{2} = \frac{576}{16}[/tex]

[tex]t^{2} = 36[/tex]

[tex]t = \pm \sqrt{36}[/tex]

Time is a positive measure, so

[tex]t = 6[/tex]

The ballast bag hits the ground after 6 seconds.


The feeder in the Example had 16 fl oz of food in it to start. How much food does it
have now? Show your work.​

Answers

Amount of food in feeder at end is (16 - a) fl oz

Given that;

Amount of food in feeder in starting = 16 fl oz

Find:

Amount of food in feeder at end

Computation:

Assume;

a fl oz eats by animals

So,

Amount of food in feeder at end = 16 - a

Amount of food in feeder at end = (16 - a) fl oz

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What is the slope of the line with the equation:

6x + 2y = 8

Answers

Answer:

Using the slope-intercept form, the slope is 3 .

Step-by-step explanation:

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