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.
PACKAGING A closed cylindrical can has a radius r and height h.
a. If the surface area S of the can is a constant, express the volume V of the can in terms of S and r.
b. If the volume V of the can is a constant, express the surface area S in terms of V and r.
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