Thread: maximum volume?

A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume?

R= H=

It would be helpful if you could specify in which part you are getting stuck since some people have trouble sketching, orthers setting up the function, etc.

i am having trouble setting up the equation. well i thinks its V=pi*r^2((5*pi-30)/6)...but i dont know how to go about the rest of the problem.

Try analyzing the sketch more carefully and if you used similar triangles you should get h= (30-5r)/6