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3) Express the volume of the part of the sphere x² + y² + z² = 4 inside the paraboloid 3z = x² + y² in cylindrical coordinates. Write clearly how you determined the limits of integration. (Do not calculate the integral).

3) Express the volume of the part of the sphere x² + y² + z² = 4 inside the paraboloid 3z = x² + y² in cylindrical coordinates. Write clearly how you determined the limits of integration. (Do not calculate the integral).

Elementary Geometry For College Students, 7e
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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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3) Express the volume of the part of the sphere x² + y² + z² = 4 inside the paraboloid 3z = x² + y² in cylindrical coordinates. Write clearly how you determined the limits of integration. (Do not calculate the integral).
Transcribed Image Text:3) Express the volume of the part of the sphere x² + y² + z² = 4 inside the paraboloid 3z = x² + y² in cylindrical coordinates. Write clearly how you determined the limits of integration. (Do not calculate the integral).
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