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Problem 1. (1 point) YA C(0, 1) B(1, 1) y = Vx R2 R3 y=x3 A(1, 0) Referring to the figure above, find the volume

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Problem 1. (1 point) YA C(0, 1) B(1, 1) y = Vx R2 R3 y=x3 A(1, 0) Referring to the figure above, find the volume generated by rotating the region R, about the line OC. Volume =Diem 2. (1 point) 1. Consider a rectangular tank that is standing on its square base of length 4 meters and a height of 6 meters. Using 9.8m/s' for the acceleration due to gravity and 1, 000kg/m as the density of water, set up the integral for the work required to pump the water out of the tank if the tank is half full of water. O A. W = 1000 - 9.8 - / 163 dy O B. W = 1000 - 9.8 - / 16(6 - 3) dy O C. None of these D. W = 1000 - 9.8 - / 16(6 -y) dy O E. W = 1000 - 9.8 . 16(6 - y) dy

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