Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are $6\text{ cm}$ in diameter and $12\text{ cm}$ high. Felicia buys cat food in cylindrical cans that are $12\text{ cm}$ in diameter and $6\text{ cm}$ high. What is the ratio of the volume of one of Alex's cans to the volume of one of Felicia's cans?
A. 1 : 4
B. 1 : 2
C. 1 : 1
D. 2 : 1
E. 4 : 1

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Worked solution

1. 2019 AMC 8 官方解析

Alex 和 Felicia 都养猫 . Alex 买了圆柱形猫粮，每只底面直径6厘米，高12厘米 . Felica 买的猫粮也是圆柱形，但每只底面直径12厘米，高6厘米 . 那么 Alex 的每盒猫粮与 Felicia 的体积比是多少？

$\frac{V_A}{V_F} = \frac{\pi 3^2 \times 12}{\pi 6^2 \times 6} = \frac{1}{2}$ .

Answer

B. 1 : 2

AI analysis — may contain mistakes.

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