Let G be the solid which lies above the plane z = V3 and within the sphere x² + y? + z2 = 4. Suppose that the (uniform) density at each point in G is 3 kilograms per cubic meters. Use spherical coordinates to determine integers a and b so that (a + bv3)n kilograms is equal to the mass of G.
Let G be the solid which lies above the plane z = V3 and within the sphere x² + y? + z2 = 4. Suppose that the (uniform) density at each point in G is 3 kilograms per cubic meters. Use spherical coordinates to determine integers a and b so that (a + bv3)n kilograms is equal to the mass of G.
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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