Question

Problem 3 6 pts] The region R bounded by y V, y 0, and 4 is revolved about the line y3 Calculate the volume of the solid using the washer method and simplify your final answer. -3 Problem 4: 8 pts] The region R is boud by y2 and y 8- 2 I. Set up, but do not evaluate, an integral or sum of integrals that would give the volume of the solid of revolution formed when R is revolved about the line using the method of your choice 17 8 -6 IL. Set up, but do not evaluate, an integral or sum of integrals with respect to y that would give the volume of the solid of revolution formed when R is revolved about the line - 17. If you set up an integral or sum of integrals with respect to a, you will receive no credit. 17 Problem 5: 6 pts) The base of a solid is the region in the ry-plane bounded by 2+2 32 and y and is shown below. Cross-sections through the solid taken parallel to the y-axis are semicircles. Set up, but do not evaluate, an integral or sum of integrals that would give volume of the solid. 32

Answer 1

(3) The 2 volurni, 4 ナ+ /T [I 966 3ヲ 2 3/2 0兀