Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 centimeters cubed. A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere?

Answer 1

32cm^3

Explanation:

This was the answer on edge

Answer 2

Explanation:

We have, a sphere and a cylinder have the same radius and height. The volume of the cylinder,
`V_C=48\ cm^3`

The volume of sphere is :
`V_S=(4)/(3)\pi r^3` .....(1)

The volume of cylinder is :
`V_C=\pi r^2h` ....(2)

Dividing equation (1) and (2), such that,

`(V_S)/(V_C)=(4\pi r^3)/(3\pi r^2h)`

As r = h

`(V_S)/(V_C)=(4)/(3)\\\\V_S=(4V_C)/(3)\\\\V_S=(4)/(3)* 48\\\\V_S=64\ cm^3`

So, the volume of sphere
`64\ cm^3`. therefore, the correct option is (A).