Question

Victoria Jones want to construct a time capsule. The capsule will be right circular cylinder of height 'h' cm, and radius 'r' cm on each end . Let the total volume of capsule be V cm^3.

1. The material for Cylindrical part cost 2 cents per cm^2 of surface. The material for the hemispherical caps costs 3 cents per cm^2 of surface. Find an expression for 'C' cents the total cost of the materials for the capsule in terms of 'r'.

So \[V=\pi r^2h+\frac{ 4 }{ 3 }\pi r^3\] I don't know how to do this question. Can anyone Help me.