Question

if the radius of a cylinder is (r) and the height is(h),how will the volume change,if the (1) height is doubled (2) height is double d and the radius is halved and (3) height is unchanged and the radius is halved.

Answer 1

Vol. of cylinder=πr²h

Radius=r

Height=h

1)Height is doubled=2h

Vol.=πr²2h

2)Height is doubled and radius is halved=2h and 1/2r

Vol.=πr²h=π(1/2r)²*2h

3) Height is unchanged and radius is halved=h and 1/2r

Vol.=π(1/2r)²h