Question

radius of a cyclinder is r and the height is h.. find the change in the volume if the height is doubled and the radius is halved

Answer 1

Hi there !!

Here's your answer


Original measurements

Radius = r
Height = h

Volume = πr²h


If the height is doubled and the radius is halved,

then,

Radius = r/2
height = 2h

Volume

$= \pi \times \frac{r}{2} \times \frac{r}{2} \times 2h$

$= \frac{\pi {r}^{2} h}{2}$

so,

the change is volume

$= \frac{\pi {r}^{2}h }{ \frac{\pi {r}^{2} h}{2} }$
= 2

so,

the original volume will be 2 times of the new volume.