Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at the origin, a 90° angle at its vertex, and topped by a sphere radius 4. Find the limits of integration for an iterated integral of the form dV B D F JJJ dv = SSS p² sin(c) dp do do. W A = 0 B = 2π C=0 D= E=0 F= 4 B÷ π 4 If necessary, enter p as rho, as phi, and as theta. Evaluate the integral to find the volume of the solid W. 78.68

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at the origin,
a 90° angle at its vertex, and topped by a sphere radius 4. Find the limits of integration for an iterated
integral of the form
dV
B D F
JJJ dv = SSS p² sin(c) dp do do.
W
A = 0
B = 2π
C=0
D=
E=0
F= 4
B÷
π
4
If necessary, enter p as rho, as phi, and as theta.
Evaluate the integral to find the volume of the solid W.
78.68
Transcribed Image Text:Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at the origin, a 90° angle at its vertex, and topped by a sphere radius 4. Find the limits of integration for an iterated integral of the form dV B D F JJJ dv = SSS p² sin(c) dp do do. W A = 0 B = 2π C=0 D= E=0 F= 4 B÷ π 4 If necessary, enter p as rho, as phi, and as theta. Evaluate the integral to find the volume of the solid W. 78.68
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