Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer 1

Answer:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

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

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]

Step-by-step explanation:

For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

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

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]


Related Questions

Seven less than the product of 6 and a number is equal to 3 Translate the sentence into an equation.

Answers

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but don't forget to thank me if it has really helped you...

The sentence into an equation is 6x-7= 3

Let x represent the unknown number

The number is multiplied by 6

= (6 × x )

= 6x

seven is subtracted from the product

= 6x - 7

The product is equated to 3

= 6x-7= 3

hence the equation is 6x-7= 3

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3x^2 - 4x + 9x - x^2

Answers

Answer:

2x^2 +5x

Step-by-step explanation:

3x^2 - 4x + 9x - x^2

Combine like terms

3x^2 -x^2   -4x+9x

2x^2 +5x

Answer:

Just combine like terms:

2x^2+5x

Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?

Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.

Answers

Option B. is correct

What is a polynomial equation?

Polynomial equation are equation of number independent variables having relationship with dependent variable.

Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.  
for example [tex]\sqrt[3]{x^3}[/tex] = x

Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

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Answer:

option B

Step-by-step explanation:

edge 2023

Please help me I really need your help please help me

Answers

Answer:

Step-by-step explanation:

Q8) Diameter = 14 in

r = 14/2 = 7 in

Area of missing chunk = πr²/4

                                    = (3.14 * 7 * 7)/4

                                    =1/4(3.14*7*7)

option 4

Q9) 90 degrees

Q10) Each minute = 6°

      In the figure shown, it is 15 minutes

  = 15* 6 = 90 degrees

Which number is composite ??? A.11 B.5 C.9 D.2

Answers

Answer:

the correct answer is 9

A moving company wants to buy a new type of truck and needs to know the volume of the storage compartment before they can decide if they should purchase the truck. What is the volume of the storage compartment?

Answers

10ft, 18ft, 8ft, 2ft, 15ft.

a circle with circumstance 12 has an arc with 48 central angle. what is the length of the arc?

Answers

I guess that is 14.26
Im not really sure !

A full circle is 360 degrees.

The arc length would be 48/360 of the full circumference.

12 x 48/360 = 576/360 = 1.6

I need help pls answer as fast as posible

Answers

Answer:

1/8

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

divide 6/42

factorise :x^2y^2-16​

Answers

Answer:

(xy - 4)(xy + 4).

Step-by-step explanation:

The is the difference of 2 squares.  

a^2 - b^2 = (a - b)(a + b: so we have:

x^2y^2 - 16​ = (xy - 4)(xy + 4)

what is 2x+3=x+15 100 points i don't want points

Answers

anewr

you could caluta

Step-by-step explanation:

Answer:

X = 12

Step-by-step explanation:

2x + 3 = x + 15

2x + 3 = x = -3

-3 + 15 = 12

So X = 12

Hope I helped!

Have a good day. =)

Emily is getting ready for her first year at college and needs to buy some supplies. She has $500. Emily heads to the mall with plans to purchase the things she knows she will need for the upcoming year away from home. She has a shopping list with all of the items budgeted. As she passes through a department store, she notices a pair of jeans and instantly falls in love with them. She tries them on and says to herself, "I need these jeans!" She looks at the price tag and finds that they cost $140.

What questions should Emily ask herself before deciding to buy the jeans? Check all that apply.

Can I afford them?
Should I borrow $140 to buy them?
Can I wait for school supplies?
Is there a good alternative?
Do I need them?

Answers

1,4,5 I just did this question

The questions that Emily should  ask herself before deciding to buy are:

Can I afford them?Is there a good alternative?Do I need them?

What do you imply by buying?

The term buying is a term that connote the act of a person in acquiring a possession or ownership of a goods or services.

Note that in buying of anything, it is good to ask yourself the right questions if one really need that thing or not. If Emily can ask the questions above and also answer them, she will be able to make the right decision.

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I’L MARK BRAINLIEST IF ANSWER IS RIGHT

Answers

Answer:

it is 752 hope this helped

If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter ​

Answers

Answer:

Perimeter = 36 cm

Step-by-step explanation:

Ratio of sides = 5:4:3

Sides are:

a =  5x ; b= 4x ; c =  3x

Semi perimeter  S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2  = 6x

S - a = 6x - 5x = x

S - b = 6x - 4x = 2x

S - c = 6x - 3x = 3x

[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]

sides of triangle:

a = 5x = 5*3 = 15 cm

b = 4x = 4*3 = 12 cm

c = 3x = 3*3 = 9 cm

Perimeter =  15 + 12 + 9 = 36 cm

Simplify the expression:
6 + 2(7x + 3),

Answers

Answer:

14x+12

Step-by-step explanation:

6 + 2(7x + 3)

= 6+14x+6

= 14x+12

find the variable: n/14=3

Answers

Answer:

n=42

Step-by-step explanation:

how do i multiply 36 by 1.5

Answers

Answer:

36x1.5=54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

First you multiply the 36 by 1, which is 36.

Second you multiply 36 by 1/2 or 0.5. In other terms, that means what is half of 36? 18.

Last, add the two, 18 + 36 = 54

Work out the value of 58×5-2
54

Answers

Answer:

36

Step-by-step explanation:

58 times 5 is 290. 290-254 is 36


What is the base 8 representation of the number 600?

Answers

Answer:

1130

Step-by-step explanation:

8x75=600

8÷9=72+3

8×1=8+1=9

8×1+1=9

Answer:1130^8

Step-by-step explanation:trust me bro

A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.

Answers

Volume of a cylinder=Cross-sectional area x height =pir^2h
Volume of a cone=1/3pir^2h
So, the volume of a cylindrical is 1/3 the volume of a cone.

Which expression has the same value as 5(4x+4)

Answers

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

X^2 + 7x + 12 = 0. i need help finding the answer step by step

Answers

x² + 7x + 12 = 0

To factor we need two numbers which add to 7 and multiply to 12.  In other words, guess the answer.  Here it's easy, 3 and 4.

(x + 3)(x + 4) = 0

When a product is zero, one of the factors must be zero.

x + 3 = 0  or   x + 4 = 0

x = -3  or  x = -4

Answer: x = -3  or  x = -4

Answer:x=-2

Step-by-step explanation:

What is the product of (-a + 3)(a + 4)?

Answers

Answer:

-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

-a^2-4a+3a+12

-a^2-a+12

Select all polynomials that are divisible by (x+3)

Answers

Give us the choices.

Answer:

x³+4x²-9

Step-by-step explanation:

What characteristics are true for all linear, exponential and quadratic functions
A
The range of the function is all real numbers,
B
The graph of the function has no intercepts
c) The graph of the function is always increasing
D) The domain of the function is all real numbers
E) The graph of the function has multiple wintercepts

Answers

Answer:

D) The domain of the function is all real numbers

Step-by-step explanation:

asdasdasdasdasd

A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long. How much gas, in cubic feet, can fit in the tank?

Answers

Answer:

[tex]6,157.5ft^3[/tex]

Step-by-step explanation:

We are looking for the volume of the tank which has a cylindrical shape.

The volume of a cylinder is given by:

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

where r is the radius of the circular base and h is the height.

In this case we have:

diameter: [tex]d=14 ft[/tex]

and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]

also the height is: [tex]h=40ft[/tex]

we substitute these values into the equation to find the volume:

[tex]V=(3.1516)(7ft)^2(40ft)[/tex]

solving the expression:

[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]

the tank can fit [tex]6,157.5ft^3[/tex] of gas

Amount of gas filled in tank is 6,154.4 feet³

Volume of cylinders:

Given that;

Diameter of cylindrical tank = 14 feet

Length of cylindrical tank = 40 feet

Find:

Amount of gas filled in tank

Computation:

Diameter of cylindrical tank = 14 feet

Radius of cylindrical tank = 14 / 2 = 7 feet

Amount of gas filled in tank = Volume of tank

Amount of gas filled in tank = πr²h

Amount of gas filled in tank = (3.14)(7)²(40)

Amount of gas filled in tank = (3.14)(49)(40)

Amount of gas filled in tank = 6,154.4 feet³

Find out more information about 'Volume of tank'.

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please help will give brainliest

Answers

Answer:

PLEASE GIVE BRAINLIEST IT IS 118

Step-by-step explanation:

(18x+28)+(7x+27) equals 180 degrees

25x+55= 180

25x=125

x=5

THIS MEANS THAT ANGLE ABC IS

18(5)+28.

90+28.

118 degrees. And since angle abc is equal to efg that is your answer.

Answer:

efg=abc

Step-by-step explanation:

18x+29+7x+27=180

25x+56=180

25x=124

x=124/25

18(124/25)+29= 118.28 or rounded 118

I want brainliest!!!

if 40 m of cloth is sold at taka 1500.there is a profit of 11 percent.what is the cost price

Answers

Answer:

hi

Step-by-step explanation:

hi

I’m not sure how to do the problem but I found a problem like it and an explanation on how to do it hope this helps

Which statements are true regarding elements of the given sets? Check all that apply. Paris ∈ F. The Statue of Liberty ∈ A. The Statue of Liberty ∉ M. Abraham Lincoln belongs to none of these sets. The Eiffel Tower is in more than one of these sets.

Answers

Answer:

Paris F, Abraham Lincoln belongs to none of these sets, and The Eiffel Tower is in more than one of these sets

Step-by-step explanation:

Answer:

A,D,E

Step-by-step explanation:

X+2y>10

1.(1,3)
2.(2,0)
3.(1,1)
4.(5,3)

Answers

Answer:

very easy just compensate using the first number for x and the other for y

let's try 5 for x and 3 for y

5+2*3=11>10 so it's the answer

4.(5,3)

Algebraically solve the systems of equations by using f(x)=g(x).
f(x)=x^2-6x+10
g(x)=x^2-2

Answers

Answer:

x=2

Step-by-step explanation:

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