Question

the volume of a cylinder becomes........... the original volume if radius becomes half of the original radius ​

Answer 1

Answer:

Hey mate.

The ans is 1/4th of its original volume.

Hope this helps...

Answer 2

Dear Student,

◆ Answer -

The volume of a cylinder becomes 1/4th the original volume if radius becomes half of the original radius.

● Explanation -

Let r and h be radius and height of the original cylinder respectively.

Volume of original cylinder is given by -

V = πr²h

When radius is halved, radius of nee cylinder is r/2.

V' = πr'²h

V' = π(r/2)²h

V' = πr²h/4

V' = V/4

Hence, volume of a cylinder becomes 1/4th the original volume if radius becomes half of the original radius.

Best luck ...