13. If the radius of a cylinder is decreased by
what will be the effect on the volume of the cylinder?

Step-by-step explanation:

If the radius of a cylinder is increased by 20% and its height is decreased by 10%.

To find : What is the percentage change in the volume?

Solution :

Let r be the radius of cylinder is increased by 20%

i.e,

The old radius is 5 and new radius is 6.

Let h be the height of cylinder is increased by 10%

i.e,

The old height is 10 and new height is 11.

The volume of old cylinder with r=5 and h=10

The volume of new cylinder with r=6 and h=11

Volume change is

Percentage change is

Therefore, The percentage change in the volume is 6.4%.

4.0

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