Question

Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

Answer 1

∵ Volume of a cylinder = πr²h

Where, h is height and r is radius of base of the cylinder.

If height remains same and radius is halved.

i.e. h = h and `r = r/2`

∴ Volume = `pi xx r/2 xx r/2 xx h`

= `pi xx r^2/4 xx h`

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