Question

There are two right circular cylinders. The radius of the first cylinder is 3 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 15 centimeters, but its height is also 5 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder? A. 9:1 B. 16:1 C. 36:1 D. 25:1

Answer 1

D) 25 : 1

Explanation:

`\boxed{\bf Volume \ of \ cylinder = \pi r^2h}`

Cylinder 1:

`h_1 = 5 \ cm\\\\r_1 = 3 \ cm`

Cylinder 2:

`h_2 = 5 \ cm\\\\r_2 = 15 \ cm`

`Volume \ of \ cylinder2 : Volume \ of \ cylinder1 = (\pi * 15 * 15 * 5)/(\pi *3*3*5)`

= 25 : 1