A volume is described as follows: 1. the base is the region bounded by x = −y² + 12y — 17 and x = y² − 18y+91; 2. every cross section perpendicular to the y-axis is a semi-circle.

Elementary Geometry for College Students
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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 +12y — 17 and x =
2. every cross section perpendicular to the y-axis is a semi-circle.
Find the volume of this object.
volume =
y² - 18y + 91;
Transcribed Image Text:A volume is described as follows: 1. the base is the region bounded by x = −y² +12y — 17 and x = 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. volume = y² - 18y + 91;
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