The volume of the solid that lies above the cone z = v3/x² + y? and below the sphere z = x? + y² + z² is: (Make sure you follow the convention r = radial distance, 0 = polar angle, ø = azimuthal angle) Osar s So( p? sin (4) drdødø O sr s So) drd@dø O so* S so® „2 sin (0) drd@dø Osr ST S) „² sin (0) drdðdø 2x

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 23E
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The volume of the solid that lies above the cone z = v
V3.
Vx2 + y? and below the sphere z = x?
+ y? +
2² is:
(Make sure you follow the convention
r = radial distance, 0 =
polar angle, o = azimuthal angle)
cos(0)
p² sin (4) drd0do
O sr S* Sos() drdðdø
2T
2
O * S Soos) p² sin (0) drd0dø
OS* S* SEs() p² sin (0) drd@dø
27
6
Transcribed Image Text:The volume of the solid that lies above the cone z = v V3. Vx2 + y? and below the sphere z = x? + y? + 2² is: (Make sure you follow the convention r = radial distance, 0 = polar angle, o = azimuthal angle) cos(0) p² sin (4) drd0do O sr S* Sos() drdðdø 2T 2 O * S Soos) p² sin (0) drd0dø OS* S* SEs() p² sin (0) drd@dø 27 6
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