A bead is made from material with constant density 6 grams per cubic millimeter by drilling a cylindrical hole of radius 2 mm through a sphere of radius 4 mm. (a) Set up a triple integral in cylindrical coordinates representing the mass of the bead in grams (do not include units). If necessary, enter O as theta. /| f dv = Bead dz dr de A = B = C = D= E = F = (b) Find the mass of the bead. grams

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
Section9.4: Polyhedrons And Spheres
Problem 48E: Sketch the solid that results when the given circle of radius length 1 unit is revolved about the...
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A bead is made from material with constant
density 6 grams per cubic millimeter by drilling a
cylindrical hole of radius 2 mm through a sphere
of radius 4 mm.
(a) Set up a triple integral in cylindrical
coordinates representing the mass of the bead in
grams (do not include units). If necessary, enter
O as theta.
I| s av
%3D
Bead
dz dr de
A =
B =
C =
%3D
E =
F =
(b) Find the mass of the bead.
grams
Transcribed Image Text:A bead is made from material with constant density 6 grams per cubic millimeter by drilling a cylindrical hole of radius 2 mm through a sphere of radius 4 mm. (a) Set up a triple integral in cylindrical coordinates representing the mass of the bead in grams (do not include units). If necessary, enter O as theta. I| s av %3D Bead dz dr de A = B = C = %3D E = F = (b) Find the mass of the bead. grams
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