Question

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is
A. 4πr³
B. 8/3 πr³
C. 2πr³
D. 8πr³

Answer 1

Volume of the cylinder is $2\pi r^3$.

To find : Volume of the cylinder.

Given :

• A sphere is placed inside a right circular cylinder so it touches the top, base and lateral surface of the cylinder.
• So, the height and diameter of the cylinder is equal to the diameter of sphere.
• Radius of the sphere = Radius of the cylinder = r                              

• Radius of the sphere = r.
• Radius of the cylinder = r.
• Height of the cylinder = 2h.

Volume of cylinder = $\pi r^2h$

                                = $\pi r^2(2r)$

Volume of cylinder = $2\pi r^3$

Therefore, option (C). $2\pi r^3$ is the correct answer.

To learn more...

1. If the volume of cylinder is 1024 CM square find the height if the radius is 7 cm

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2. The volume of cylinder is 49896 cm^3 and its csa is 4752 cm^2 ,then its radius is

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