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> Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x² + y² + z² ≤ 20 cut off by the plane z = and restricted to the first octant. (In your integral, use theta, rho, and phi for 0, p and p, as needed.)

> Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x² + y² + z² ≤ 20 cut off by the plane z = and restricted to the first octant. (In your integral, use theta, rho, and phi for 0, p and p, as needed.)

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 23E
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..Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x² + y² + z² ≤ 20 cut off by the plane z = 2 and restricted to the first octant. (In your integral, use theta, rho, and phi for 0, p and , as needed.) What coordinates are you using? (Enter cartesian, cylindrical, or spherical.) With a = ,b= C = d = e = and f = Volume = d ·d d
Transcribed Image Text:..Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x² + y² + z² ≤ 20 cut off by the plane z = 2 and restricted to the first octant. (In your integral, use theta, rho, and phi for 0, p and , as needed.) What coordinates are you using? (Enter cartesian, cylindrical, or spherical.) With a = ,b= C = d = e = and f = Volume = d ·d d
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