The volume, V, of a cone with height, h, and radius, r, of its base can be found by: V=1/3(pi)*r^2*h.

Question

Find the maximum possible volume if h+r=3. (Leave your answer in terms of pi)

I'm really stuck on this question. Any help would be appreciated! Thanks.

Answer 1

Use the h+r=3 to solve for h, in terms of r, then rewrite V(r), volume as a function of r.

Now use your calculus skills to find the maximum value of function V.