MathDB
Cat Food Party

Source: 2019 AMC 8 #9

November 19, 2019

Problem Statement

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 of one of Alex's cans to the volume of one of Felicia's cans?
<spanclass=latexbold>(A)</span>1:4<spanclass=latexbold>(B)</span>1:2<spanclass=latexbold>(C)</span>1:1<spanclass=latexbold>(D)</span>2:1<spanclass=latexbold>(E)</span>4:1<span class='latex-bold'>(A) </span> 1:4 \qquad<span class='latex-bold'>(B) </span>1:2\qquad<span class='latex-bold'>(C) </span>1:1\qquad<span class='latex-bold'>(D) </span>2:1\qquad<span class='latex-bold'>(E) </span>4:1