A sphere, centered at the origin, has radius 4. Find integrals that compute its volume, using Cartesian, cylindrical, and spherical coordinates. For your answers 8 = theta, = phi, and p = rho. Cartesian LIT P(e, v, 2) dz da dy = dz da dy Cylindrical III 16.0,2) dz dr dô = / dz dr do Spherical II 6,0,4) do dô dp = dp d8 dp
A sphere, centered at the origin, has radius 4. Find integrals that compute its volume, using Cartesian, cylindrical, and spherical coordinates. For your answers 8 = theta, = phi, and p = rho. Cartesian LIT P(e, v, 2) dz da dy = dz da dy Cylindrical III 16.0,2) dz dr dô = / dz dr do Spherical II 6,0,4) do dô dp = dp d8 dp
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A sphere, centered at the origin, has radius 4. Find integrals that compute its volume, using Cartesian, cylindrical, and spherical coordinates. For your answers 8 = theta, o = phi, and p = rho.
Cartesian
P(+, 9, 2) dz da dy =
dz dz dy
Cylindrical
14,0,2) dz dr dð =
dz dr de
Spherical
do de do
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