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Geometrical Applications of Calculus Help (1 Viewer)

tSong

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A cone of height h cm is inscribed in a sphere of constant radius R cm. Find the ratio h : R when the volume of the cone is maximised.

Thanks in advance!
 

HeroicPandas

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Is there answers?

I got 1 : 2/root3 (ratio of h:R)

by rationalising 1 : 2root3 /3

hint- find the radius of the cone by using pythag.
 
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D94

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From what I make of the question, I've got 3:4 for h:R.
 

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