Use cylindrical coordinates to find exactly the volume of the solid. The solid that is bounded above by the sphere x? + y? + z² = 1 and below by the cone z = V/x² + y² . NOTE: Enter the exact answer. Volume = %|

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 to find exactly the volume of the solid.
The solid that is bounded above by the sphere x2 + y? + z2
1
and below by the cone z =
Vx2 + y? .
NOTE: Enter the exact answer.
Volume
%3D
Transcribed Image Text:Use cylindrical coordinates to find exactly the volume of the solid. The solid that is bounded above by the sphere x2 + y? + z2 1 and below by the cone z = Vx2 + y? . NOTE: Enter the exact answer. Volume %3D
Use spherical coordinates to find the volume of the solid enclosed by
the sphere x? + y? + z² = 4a² and the planes z
O and z = a.
NOTE: Enter the exact answer.
V =
Transcribed Image Text:Use spherical coordinates to find the volume of the solid enclosed by the sphere x? + y? + z² = 4a² and the planes z O and z = a. NOTE: Enter the exact answer. V =
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