4. Let S be the solid that lies above the cone z = Vr + y and below the sphere r + y? + z? = 1, as shown in the figure below: = Va² + y? x? + y? + 2? = 1 (a) Using rectangular coordinates, set-up the triple integral that represents the volume of the solid S. (b) Using cylindrical coordinates, set-up the triple integral that represents the volume of the solid S. (c) Using spherical coordinates, find the volume of the solid S.

4. Let S be the solid that lies above the cone z = Vr + y and below the sphere r + y? + z? = 1, as shown in the figure below: = Va² + y? x? + y? + 2? = 1 (a) Using rectangular coordinates, set-up the triple integral that represents the volume of the solid S. (b) Using cylindrical coordinates, set-up the triple integral that represents the volume of the solid S. (c) Using spherical coordinates, find the volume of the solid S.

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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