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Prove that the cone, circumscribing a sp...

Prove that the cone, circumscribing a sphere of radius r, has the minimum volume if its altitude is 4r and its semivertical angle is `sin^-1 (1/3)`.

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A DAS GUPTA-Maxima and Minima-EXERCISE
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  4. Prove that the radius of the right circular cylinder of greatest cu...

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