Skip to main content
OlympiadHQ

Browse · harp

Print

jmc

geometry junior

Problem

Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are cm in diameter and cm high. Felicia buys cat food in cylindrical cans that are cm in diameter and cm high. What is the ratio of the volume of one of Alex's cans to the volume of one of Felicia's cans?
(A)
(B)
(C)
(D)
Solution
Using the formula for the volume of a cylinder, we get Alex, , and Felicia, . We can quickly notice that cancels out on both sides and that Alex's volume is of Felicia's leaving as the answer.
Final answer
B