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armolinasf
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Homework Statement
This is an optimization problem but I'm having trouble modeling the question.
There is a sphere encased in a cone. The sphere has a fixed radius R and the cone has a variable height h and radius r. There is also a variable angle theta at the base of the cone.
Express the volume of the cone as a function of the angle theta, then find what slant angle theta should be used for the volume to be a minimum.2. The attempt at a solution
So far I have V=(pi*r^3*tan(θ))/3, where tan(θ)=h/r
the problem is how to describe r in terms of θ
thanks in advance