# 152 HW5-w20.pdf - Math 15200 Homework 5 Due Wednesday...

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Math 15200: Homework 5 Due Wednesday, February 12 The following three problems will be graded out of a possible five points each. 1. Consider the area bounded by the circle x 2 + y 2 = A 2 , where A > 0 is a constant. If this area is rotated about the line x = A , the resulting solid is sometimes called a pinched sphere . (a) Express the volume of the pinched sphere as an integral with respect to x (but do not evaluate it). (b) Express the volume of the pinched sphere as an integral with respect to y