18-20. The solid D is bounded below by the xy-plane z = 0, above by the surface z² = x² + y² and on the side by the surface x² + y² = 16. # 18. Find the volume by using cylindrical coordinates with dV = r dr do dz. # 19. Find the volume by using cylindrical coordinates with dV = r dz dr do. # 20. Find the volume by using spherical coordinates.

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...
Question
18-20. The solid D is bounded below by the xy-plane z = 0, above by the surface z² = x² + y² and on
the side by the surface x² + y² = 16.
# 18.
Find the volume by using cylindrical coordinates
with dV = r dr do dz.
# 19. Find the volume by using cylindrical coordinates
with dV = r dz dr de.
# 20. Find the volume by using spherical coordinates.
dy.
y and
16. Set up double integrals to determine
Transcribed Image Text:18-20. The solid D is bounded below by the xy-plane z = 0, above by the surface z² = x² + y² and on the side by the surface x² + y² = 16. # 18. Find the volume by using cylindrical coordinates with dV = r dr do dz. # 19. Find the volume by using cylindrical coordinates with dV = r dz dr de. # 20. Find the volume by using spherical coordinates. dy. y and 16. Set up double integrals to determine
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