6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0< x≤ 1,0 ≤ y ≤ √1-x², 0≤x≤ √4-(x² + y²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √3x² + 3y² and below the sphere x² + y² + z2 = z using spherical coordinates. Draw the solid B

6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0< x≤ 1,0 ≤ y ≤ √1-x², 0≤x≤ √4-(x² + y²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √3x² + 3y² and below the sphere x² + y² + z2 = z using spherical coordinates. Draw the solid B

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 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...

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