Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2 = 9 and the sphere x2 + y2 + z2 = 49. 54 – 10V5 2n 3

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
Section9.3: Cylinders And Cones
Problem 25E
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Evaluate the integral by changing to cylindrical coordinates.
V4- y2
xz dz dx dy
V4 - y2 Vx² + y2
Transcribed Image Text:Evaluate the integral by changing to cylindrical coordinates. V4- y2 xz dz dx dy V4 - y2 Vx² + y2
Use cylindrical coordinates.
Find the volume of the solid that lies within both the cylinder x2 + y2 = 9 and the sphere x2 + y2 + z2 = 49.
54 – 10/5
2n
Transcribed Image Text:Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2 = 9 and the sphere x2 + y2 + z2 = 49. 54 – 10/5 2n
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