Question

if the radius of the base of a right circular cylinder is halved , keeping the same , what is the ratio of the volume of the reduce cylinder to that of the original cylinder?​

Answer 1

Answer:

The ratio of the volume of the reduced cylinder to that of the original is 1:4

Step-by-step explanation:

Let the radius of cylinder be r

Let the height be h

Volume of cylinder = πr²h

New radius = r/2

Height remains same

New Volume = π(r/2)²h

The ratio of the volume of the reduced cylinder to that of the original :

= π(r/2)²/h

________

πr²h

=1/4

Hence The ratio of the volume of the reduced cylinder to that of the original is 1:4