Geometrical Applications of Calculus Help (1 Viewer)

[tSong]

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]

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.

 

[D94]

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

 

[CrackerMo]

I would do it but I don't feel like it, Tony HEHE