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Question Number 5334 by Rasheed Soomro last updated on 08/May/16

$$\mathrm{A}\mathbf{sphere}\mathrm{of}\mathbf{radius}\mathbf{r}\mathrm{contains}\mathrm{a}\mathbf{cyllinder}\mathrm{of}\mathrm{possible}$$$$\mathrm{largest}\mathbf{volume}.\mathbf{D}\mathrm{etermine}\mathrm{the}\mathrm{volume}\mathrm{of}\mathrm{the}\mathbf{cyllinder}.$$

Commented by Rasheed Soomro last updated on 10/May/16

$$\mathrm{I}\mathrm{believe}\mathrm{that}\mathrm{the}\mathrm{cyllinder}\mathrm{of}\mathrm{possible}\mathrm{largest}\mathrm{volume}$$$$\mathrm{inside}\mathrm{a}\mathrm{sphere}\mathrm{has}\mathrm{equal}\mathrm{diameter}\mathrm{and}\mathrm{height}.$$

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