Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

geometry intermediate

Problem

The radius of a cylinder is doubled and its height is tripled. If its original volume was 10 cubic feet, what is its volume now, in cubic feet?
Solution
Let the cylinder's original radius and height be and , respectively. The new cylinder has volume which is 12 times larger than the original volume. Since the original volume was 10 cubic feet, the new volume is cubic feet.
Final answer
120