Let D be the region bounded below by the plane z=0, above by the sphere x² + y² +2²=64, and on the sides by the cylinder x² + y² = 16. Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration. a. dz dr de b. dr dz de c. de dz dr a. Find the integral for the volume using the order dz dr do. Select the correct choice below and fill in the answer boxes to complete your choice. Use increasing limits of integration. OA SS S ов. dz dr do ??? SSS dz dr do + SSS dz dr do

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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Let D be the region bounded below by the plane z=0, above by the sphere x² + y² +2²=64, and on the sides by the
cylinder x +y = 16. Set up the triple integrals in cylindrical coordinates that give the volume of D using the following
orders of integration.
a. dz dr d0 b. dr dz de c. de dz dr
a. Find the integral for the volume using the order dz dr do. Select the correct choice below and fill in the answer
boxes to complete your choice. Use increasing limits of integration.
SSS dz dr do
OB. dz dr de+ SS S
----------
OA.
0
0
dz dr
Transcribed Image Text:Let D be the region bounded below by the plane z=0, above by the sphere x² + y² +2²=64, and on the sides by the cylinder x +y = 16. Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration. a. dz dr d0 b. dr dz de c. de dz dr a. Find the integral for the volume using the order dz dr do. Select the correct choice below and fill in the answer boxes to complete your choice. Use increasing limits of integration. SSS dz dr do OB. dz dr de+ SS S ---------- OA. 0 0 dz dr
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