Problem

Solve each problem.Tin Can The surface area S and volume V for a can with a top and bottom...

Solve each problem.

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

S = 2 πr2 + 2 πrh and V = πr2h,

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.

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