A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 3.5. What are the dimensions of such a cylinder which has maximum volume?

Printable View

- Apr 22nd 2013, 10:19 AMgbaby91Optimization
A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 3.5. What are the dimensions of such a cylinder which has maximum volume?

- Apr 22nd 2013, 10:31 AMemakarovRe: Optimization
Express the radius of the cylinder as a function of its height. Thus express the cylinder's volume as a function of its height. Then find the maximum of the volume by differentiating.