Question

The diameter of a circular cylindrical holding tank can be modeled by the function, (picture) where A is the surface area of the circular base of the tank. If the surface area of the base is 64π square feet, what is the diameter of the tank?

Answer 1

Plug in the area of the base to the function

`d = 2\sqrt{ (A)/( \pi ) }`

`d = 2\sqrt{ (64 \pi )/( \pi ) }`

`d = 2√(64)`
d = 2(8)
d = 16

The diameter is 16 feet