calculus - hw please

Question

A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost.

To minimize the cost of the can: Radius of the can: __________________ 

Height of the can: __________________ 

Minimum cost: __________________  cents

Answer 1

Radius is r, height h

π r² h = 450

Area of side = 2πrh

Area of top and bottom = 2πr²

Cost C, = 0.03 x 2πrh + 0.06 x 2πr²

Process.

Rearrange V equation to get h = ...

Substitute this for h in C

Solve dC/dr = 0

Given r find h