Find the volume of the indicated region. 2 2 the region enclosed by the cylinder x² + y² = 4 and the planes z = 0 and x+y+z=4

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.7: Volumes Of Prisms And Cylinders
Problem 2C
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Find the volume of the indicated region.
2
2
the region enclosed by the cylinder x² + y² = 4 and the planes z = 0 and x+y+z=4
Transcribed Image Text:Find the volume of the indicated region. 2 2 the region enclosed by the cylinder x² + y² = 4 and the planes z = 0 and x+y+z=4
π
Consider the solid bounded below by the xy-plane, on the sides by the sphere p = 8, and above by the cone =
3
a. Find the spherical coordinate limits for the integral that calculates the volume of the given solid.
b. Evaluate the integral.
Transcribed Image Text:π Consider the solid bounded below by the xy-plane, on the sides by the sphere p = 8, and above by the cone = 3 a. Find the spherical coordinate limits for the integral that calculates the volume of the given solid. b. Evaluate the integral.
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