Question

Question 34

The volume of a cylinder becomes ___ the original volume if its radius becomes half of the original radius.

Answer 1

$\frac{1}{4}$

The volume of a cylinder with radius r and height, $h=\pi r^{2}h$

If radius is halved,the new radius becomes $\frac{r}{2}$

$\therefore Newvolume=\pi {\left(\frac{r}{2}\right)}^{2}h=\frac{1}{4}\pi r^{2}h$

Hence, the new volume is $\frac{1}{4}th$ of the original volume.