Question

A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 4ft and a radius of 6ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be $14,318.40. How much will the metal cost per square foot? Use 3.14 for pi, and do not round your answer.

Answer 1

First find surface area.

I will skip the exact explanation and just go to it because well its the same concept as the prism.

π*6^2*2+6*2π*4

=72π+48π

=120π

Now we need to take 3.14 for pi getting about

120*3.14=376.8 square foot.

Now the total is 14318.4 dollars, so what's left is simple division.

14318.4/376.8=38

The metal cost 38 dollars per square feet :P