Question

A cylinder labeled X has a height of 16 inches and a radius of 10 inches. Another cylinder labeled Y has a height of 32 inches and a radius of 20 inches.

The volume of cylinder Y is _______ times the volume of cylinder X.

Answer 1

According to Volume of cylinder:
\[V = Pr^{2}h\]

So:
Vx = P * 100 * 16 = 1600P
Vy = P * 400 * 32 = 12800P

Vy/Vx = 12800P/1600P = 8

So the volume of cylinder Y is 8 times the volume of cylinder X.

Answer 2

Thank you!!