Question

if the radius of the base and height of a right circular cylinder is increased by 25% then the volume will be increased by-
A.) 87.5 %
B.) 95.3 %
C.) 67.5 %
D.) 25 %
please show solutions.....

Answer 1

Let the radius and height of the right circular cylinder be 100 cm.

We know that volume = πr^2h

                                     = π(100)^2 * (100)^2

                                     = 1000000π cm^3

Now,

Given that radius of the base and height is increased by 25%.

New volume = π(125)^2 * 125

                     = 1953125π.

Increase in volume = (1953125π - 1000000π)Cm^3

                                = 953125.

Increase% = (953125/1000000) * 100%

                 = 95.3%.

Therefore, the volume is increased by 95.3% - Option(B).

Hope it helps!