Question

A sphere and a cylinder have the same radius and height.the volume of the cylinderis 48cm3

Answer 1

32 cm^3.

Explanation:

Formulas for calculating:

sphere's volume - ;
`V_(sphere)=(4\pi r^3)/(3)`

cylinder's volume - .
`V_(cylinder)=\pi r^2 h`

Note that h=2r (height of the sphere consists of two radius).

Then
`V_(cylinder)= \pi r^2 h=\pi r^2 2r= 2\pi r^3`

Since
`V_(sphere)= (4\pi r^3)/(3)`

on calculating we get

`V_(cylinder)= (3V_(sphere))/(2)\\ \Rightarrow V_(sphere)=(2V_(cylinder))/(3) =(2*48)/(3) =32 cm^3`