Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

geometry intermediate

Problem

Two cylindrical cans have the same volume. The height of one can is triple the height of the other. If the radius of the narrower can is 12 units, how many units are in the length of the radius of the wider can? Express your answer in simplest radical form.
Solution
Let the height of the wide can be and the height of the narrow can be . Let the wide can have radius units. Since the two volumes are equal, we have Solving yields so the wide can has radius units.
Final answer
12\sqrt{3}