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Problem 11. A sphere, centered at the origin, has radius 5. Find integrals that compute its volume, using Cartesian, cylindrical, and spherical coordinates. For your answers 0 = theta, o = phi, and p = rho. Cartesian III P(z,y, 2) dz da dy = / dz dz dy Cylindrical SII 14,0, 2) dz dr do = dz dr de Spherical dp de dø

Problem 11. A sphere, centered at the origin, has radius 5. Find integrals that compute its volume, using Cartesian, cylindrical, and spherical coordinates. For your answers 0 = theta, o = phi, and p = rho. Cartesian III P(z,y, 2) dz da dy = / dz dz dy Cylindrical SII 14,0, 2) dz dr do = dz dr de Spherical dp de dø

Advanced Engineering Mathematics
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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Problem 11. A sphere, centered at the origin, has radius 5. Find integrals that compute its volume, using Cartesian, cylindrical, and spherical coordinates. For your answers 0 = theta, o = phi, and p = rho. Cartesian p(x, y, z) dz dæ dy = | dz da dy Cylindrical do dz dr de Spherical do = dp de do
Transcribed Image Text:Problem 11. A sphere, centered at the origin, has radius 5. Find integrals that compute its volume, using Cartesian, cylindrical, and spherical coordinates. For your answers 0 = theta, o = phi, and p = rho. Cartesian p(x, y, z) dz dæ dy = | dz da dy Cylindrical do dz dr de Spherical do = dp de do
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