Solve.Designing Fireworks Marshall is designing a rocket for the Red Rocket Fireworks Comp...

Solve.

Designing Fireworks Marshall is designing a rocket for the Red Rocket Fireworks Company. The rocket will consist of a cardboard circular cylinder with a height that is four times as large as the radius. On top of the cylinder will be a cone with a height of 2 in. and a radius equal to the radius of the base as shown in the figure. If he wants to fill the cone and the cylinder with a total of 114π in.3 of powder, then what should be the radius of the cylinder?