3. Triple Integrals in Cylindrical and Spherical Coordinates a) Evaluate b) Evaluate R x²dV where R is inside x² + y² = 1, over z = 0, and under z² = SSS R 4x² + 4y² ¹²+z² dV where R is inside the sphere x² + y² + z² = 9 in the first octant TU c) Find the volum of the solid over the cone = and under the sphere p = 4 cos p

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 1E: Does a right circular cylinder such as an aluminum can have a symmetry with respect to at least one...
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Show full and complete procedure HANDWRITTEN only. Please answer a) b) and c). Note they are subparts of the same question 

3.
Triple Integrals in Cylindrical and Spherical Coordinates
a) Evaluate
R
b) Evaluate
x²dV where R is inside x² + y² = 1, over z = 0, and under z² =
!!!
R
c) Find the volum of the solid over the cone
4x² + 4y²
√x²+y²+z²dV where R is inside the sphere x² + y² + z² = 9 in the first octant
=
TU
and under the sphere p = 4 cos p
3
Transcribed Image Text:3. Triple Integrals in Cylindrical and Spherical Coordinates a) Evaluate R b) Evaluate x²dV where R is inside x² + y² = 1, over z = 0, and under z² = !!! R c) Find the volum of the solid over the cone 4x² + 4y² √x²+y²+z²dV where R is inside the sphere x² + y² + z² = 9 in the first octant = TU and under the sphere p = 4 cos p 3
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