A volume is described as follows: 1. the base is the region bounded by x = y² + 8y + 50 and x = 2. every cross section perpendicular to the y-axis is a semi-circle. y² Find the volume of this object. volume = - 22y + 138;

Elementary Geometry for College Students
6th Edition
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Author:Daniel C. Alexander, Geralyn M. Koeberlein
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Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 3E
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A volume is described as follows:
1. the base is the region bounded by x = −y² + 8y + 50 and x = y²-22y + 138;
2. every cross section perpendicular to the y-axis is a semi-circle.
Find the volume of this object.
volume =
Transcribed Image Text:A volume is described as follows: 1. the base is the region bounded by x = −y² + 8y + 50 and x = y²-22y + 138; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. volume =
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