In Exercises 52 through 56, you need to know that a cylinder of radius r and height h has volume V = r 2 h

In Exercises 52 through 56, you need to know that a cylinder of radius r and height h has volume V = πr²h and lateral (side) surface area S = 2πrh. A circular disk of radius r has area A = πr².

A closed cylindrical can has surface area 120π square inches. Express the volume of the can as a function of its radius.