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Gaokao Math Practice Question

两个圆雉的底面是一个球的同一截面, 顶点均在球面上, 若球的体积为 $\frac{32 \pi}{3}$, 两个圆雉的高之比为 $1: 3$, 则这两个圆雉的体积之和为 ($\quad$)

  1. A.$3 \pi$
  2. B.$4 \pi$
  3. C.$9 \pi$
  4. D.$12 \pi$

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