The surface area S and volume V for a can with a top and bottom are given by where r is the radius and h is the height. Suppose that a can has a volume of 1 ft 3 . a. Write its height as a function of...

The surface area S and volume V for a can with a top and bottom are given by

where r is the radius and h is the height. Suppose that a can has a volume of 1 ft³.

a. Write its height as a function of its radius.


b. Write its radius as a function of its height.


c. Write its surface area as a function of its radius.