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What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?

60π cm³

120π cm³

300π cm³

1200π cm³

The volume of a cylinder is 225π cm³ and its height is 9 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.

What is the volume of a right circular cylinder with a base diameter of 6 m and a height of 5 m?
Enter your answer in the box. Express your answer using π .

What is the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft?
Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

A right circular cylinder has a height of ​ 20 1/2 ​ ft and a diameter ​ 115 ​ times its height.
What is the volume of the cylinder?
Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Respuesta :

Answer

300

Step-by-step explanation:

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The volume of the first cylinder is 300π cm³. The height of the second cylinder is 5 cm. The volume of the third cylinder is [tex]45\pi \rm\; m^3[/tex]. The volume of the fourth cylinder is 5889.95 cubic feet. The volume of the fifth cylinder is 89438997.08 cubic feet.

We have a right circular cylinder with a radius of 5 cm and a height of 12 cm.

It is required to calculate the volume of the cylinder.

So, the volume of the cylinder will be,

[tex]V=\pi r^2h\\V=\pi\times 5^2\times 12\\V=300\pi \rm\; cm^3[/tex]

The volume of a cylinder is 225π cm³ and its height is 9 cm. It is required to calculate the radius of the cylinder.

So, the radius of the cylinder will be,

[tex]V=\pi r^2h\\225\pi=\pi\times r^2\times 9\\r^2=\dfrac{225}{9}\\r=\dfrac{15}{3}=5\rm\;cm[/tex]

We have a right circular cylinder with a diameter of 6 m and a height of 5 m.

It is required to calculate the volume of the cylinder.

So, the volume of the cylinder will be,

[tex]V=\pi r^2h\\V=\pi\times 3^2\times 5\\V=45\pi \rm\; m^3[/tex]

We have a right circular cylinder with a diameter of 17.5 ft and a height of 24.5 ft.

It is required to calculate the volume of the cylinder.

So, the volume of the cylinder will be,

[tex]V=\pi r^2h\\V=3.14\times (\dfrac{17.5}{2})^2\times 24.5\\V=5889.95 \rm\; ft^3[/tex]

A right circular cylinder has a height of ​ [tex]20 \dfrac{1}{2}[/tex] ​ ft and a diameter 115 ​ times its height.

The diameter of the cylinder will be,

[tex]d=115\times 20\dfrac{1}{2}\\d=2357.5\\r=1178.75\rm\; ft[/tex]

It is required to calculate the volume of the cylinder.

So, the volume of the cylinder will be,

[tex]V=\pi r^2h\\V=3.14\times (1178.75)^2\times 20.5\\V=89438997.08 \rm\; ft^3[/tex]

For more details, refer to the link:

https://brainly.com/question/16134180

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