Largest acceptable prostate volume cubic centimeters, Physics

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Prof. Patch is collaborating with physicians at MCW on an ex vivo prostate cancer imaging trial. The testbed they currently use is 6 cm wide. The research nurse coordinating the study can (usually) find a rough estimate of the prostate volume measured from transrectal ultrasound images. Assume the prostate shape is spherical.

What is the largest acceptable prostate volume in cubic centimeters? Show your work.

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