A volume is described as follows: 1. the base is the region bounded by x = -y² + 8y + 52 and x = y² y²-22y + 140; 2. every cross section perpendicular to the y-axis is a semi- circle. Find the volume of this object.
A volume is described as follows: 1. the base is the region bounded by x = -y² + 8y + 52 and x = y² y²-22y + 140; 2. every cross section perpendicular to the y-axis is a semi- circle. Find the volume of this object.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 16E: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and...
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Transcribed Image Text:A volume is described as follows:
1. the base is the region bounded by x = -y² + 8y +52
and x = y²
y²-22y + 140;
2. every cross section perpendicular to the y-axis is a semi-
circle.
Find the volume of this object.
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