Posted by Shayna on .
A right circular cone is inscribed in a sphere of radius r. Find the dimensions of the cone that maximize the volume of the cone.

Calculus 
Steve,
a web search for maximum volume cone in sphere will give you some nice articles explaining the solution.

Calculus 
Anonymous,
For a cone, the formula describes the relationship between the radius r of the base, the volume V, and the height h. Find the volume if the radius is 7 inches and the cone is 11 inches high. (Use 3.14 as an approximation for , and round to the nearest tenth.)