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=

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- October 23rd 2009, 09:03 PMwizzel22maximum 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= - October 23rd 2009, 09:20 PMArturo_026
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.

- October 23rd 2009, 09:23 PMwizzel22
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.

- October 23rd 2009, 09:35 PMArturo_026
Try analyzing the sketch more carefully and if you used similar triangles you should get h= (30-5r)/6