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4 MTH 252 Recitation Activity 8 Due Tuesday, Nov. 21, 2023 (4) Consider the solid whose base in the xyplane is the region bound below
4 MTH 252 Recitation Activity 8 Due Tuesday, Nov. 21, 2023 (4) Consider the solid whose base in the xyplane is the region bound below the curve y = V9 x2 and above the curve y = V9 x2 on the interval [3.3] and whose cross- sectional slices perpendicular to the y-axis (not x-axis) are semicircles. a. Sketch (label your graph clearly) an outline of the base and one sample cross-sectional slice. b. Set up the integral to find the volume of this solid using the cross-sectional slicing method. c. Evaluate the integral to find the volume. d. What shape is the solid? Use geometry to verify the volume found in part c. V
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