Q: Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are 6 cm in diameter and 12 cm high. Felicia buys cat food in cylindrical cans that are 12 cm in diameter and 6 cm high. What is the ratio of the volume one of Alex's cans to the volume one of Felicia's cans?
The volume of a can is ((1/2 of the diameter)^2)(height)(pi).
That means that the volume of Alex's can is (3^2)(12)(pi) = 108pi.
That also means that the volume of Felicia's can is (6^2)(6)(pi) = 216pi.
108pi : 216pi = 108 : 216 = 18 : 36 = 1 : 2, making the answer B.
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