Question

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

Answer 1

The volume of a cylinder becomes `underlinebb(1/4)` the original volume if its radius becomes half of the original radius.

Explanation:

The volume of a cylinder with radius r and height h = `pir^2h`

If radius is halved, then new volume = `pi(r/2)^2h = 1/4 pir^2h`

Hence, the new volume is `1/4`th of the original volume.