Use cylindrical coordinates to find the volume of the region in the first octant bounded by the cylinder r= 1 and the plane z=x. ..... Set up the triple integral using cylindrical coordinates that should be used to find the volume of the region as efficiently as possible. Use increasing limits of integration. TTIO dz dr do

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 43E: A frustum of a cone is the portion of the cone bounded between the circular base and a plane...
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Use cylindrical coordinates to find the volume of the region in the first octant bounded by the cylinder r= 1 and the plane z=x.
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Set up the triple integral using cylindrical coordinates that should be used to find the volume of the region as efficiently as possible. Use increasing limits of integration.
TTIO dz dr de
Transcribed Image Text:Use cylindrical coordinates to find the volume of the region in the first octant bounded by the cylinder r= 1 and the plane z=x. ..... Set up the triple integral using cylindrical coordinates that should be used to find the volume of the region as efficiently as possible. Use increasing limits of integration. TTIO dz dr de
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