Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ √ y) 7(x + y) dA R = {(x, y) | 4 ≤ x² + y² ≤ 9,x ≤ 0}

A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.