Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius

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Question:
Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius $5 \sqrt{3} \mathrm{~cm}$ is $(500 \pi) \mathrm{cm}^{3}$.

Solution:

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Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius

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