If the radius of a cylinder is reduced by 50 %, then the volume of the cylinder will get reduced by
( Take π=227 )
Let the radius of the old cylinder be R and that of the new cylinder be r.
Given that radius is reduced by 50% then r=R2
Volume of old cylinder =πR2h
Volume of new cylinder =πr2h
∴ Reduction in volume =πR2h−π×R2×h4=34πR2h
∴ Percentage reduction =34πR2hπR2h×100