28 points - the radius of a cylinder is increased by n% and its height increased by 2n%. how does this effect the volume of the cylinder? let n = 20. determine the percent increase or decrease of its volume. suppose the radius is decreased by 5% and the height increased by 5%. how does this effect the volume?

Let r be the radius of cylinder and h be the height of cylinder. If the radius of a cylinder is increased by N%, then it becomes . If its height increased by 2N%, then it becomes .

The volume of initial cylinder is and the volume of new cylinder is .

The ratio between volumes is

.

This means that volume increases times.

1. When N=20, substitute this value into previous expression:

. The coeeficient 1.68 in percent is 168% and this means that volume increases by 68%.

2. When the radius is decreased by 5%, then in first brackets you should subtract fraction and the height increased by 5%, then in secondt brackets you should add fraction. So,

.

The coeeficient 0.9975 in percent is 99.75% and this means that volume decreases by 0.25%.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.