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Gaokao Math Practice Question

已知 $A, B$ 是球 $O$ 的球面上两点, $\angle A O B=90^{\circ}, C$ 为该球面上的动点, 若三棱雉 $O-A B C$ 体积的最大值为 36 , 则球 $O$ 的表面积为 ($\qquad$)

  1. A.$36 \pi$
  2. B.$64 \pi$
  3. C.$144 \pi$
  4. D.$256 \pi$

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