Question: . (10 pts) A water tank's shape can be approximated by rotating the portion of the curve 3; = ln(:c) for 1 S :1: S

. (10 pts) A water tank's shape can be approximated by

. (10 pts) A water tank's shape can be approximated by rotating the portion of the curve 3; = ln(:c) for 1 S :1: S 6 about the line a: = 6. The tank needs repainting and relling. a) (5 pts) Write an integral representing the surface area of the tank. You do not need to evaluate the integral. b) (5 pts) Write an integral that represents the volume of water needed to ll the tank. You do not need to evaluate the integral

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