A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize cost.

I got as far as finding the radius to equal around 13.3067 but after plugging that value into my h function, i'm getting a negative number, I think I'm doing something wrong?

1 answer

Found the answer, it was a calculator error but r is actually~6.2035 leading h~24.8141