Use cylindrical coordinates.Find the volume of the solid that lies within both the cylinder  x2 + y2 = 9  and the sphere  x2 + y2 + z2 = 16.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Use cylindrical coordinates.

Find the volume of the solid that lies within both the cylinder 

x2 + y2 = 9

 and the sphere 

x2 + y2 + z2 = 16.
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