Answer: r = (2π/2)1/2 = 1 cm and h = 2 cm.
Explanation:
The radius of the closed right circular cylindrical can of smallest surface area whose volume is 2π cm3 is 1 cm and the height is 2 cm. This can be computed by using the formula for the volume of a right circular cylinder, V = πr2h, and solving for the radius. The equation becomes r = (V/πh)1/2. When plugging in the given values, we find that r = (2π/2)1/2 = 1 cm and h = 2 cm.