A conical cup is to be made by joining the edges OA, OB of the sector of a circle of radius 8cm. What angle @ gives the cup of maximum volume?(adsbygoogle = window.adsbygoogle || []).push({});

I'm having trouble solving this question. This is what I have done so far

we know V=pi*r^2*h/3

r is given, so we need to put h in terms of @.

now by similar triangles we can take another slice, and compare

r/h=R/(h-1).... (h-1) is just the height of the triangle below the new slice

solving for h I get h=1/(1-R/r) now i'm unsure of what to do now, and how to get @ into the equation.

Anyways please let me know if i'm doing this question completely wrong or what not. Thanks for all your help

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# Maximize volume of a cone

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