A solid is formed by adjoining a hemisphere (half of a sphere) to the top of a cylinder. The total volume of the solid is 141 in3. Part A: Let r be the radius of the base and h the height of the cylinder, as shown. Find formulas for the surface area S and volume V of this solid. Recall that the volume of a sphere is given by 4 3 r 3 and the surface area of a sphere is given by 4 r 2 . What is the formula for the surface area? Part B: Find the radius of the base that produces the minimum surface area