If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.
Let the radius of the old cylinder be R and that of the new cylinder be r.
Volume of old cylinder=πR2h
Volume of new cylinder=πr2h
Hence, reduction in volume
=Volume of old cylinder - volume of new cylinder
∴ Percentage reduction
=Reduction in volumeVolume of old cylinder×100