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A bead is made from material with constant density 3 grams per cubic millimeter by drilling a cylindrical hole of radius 1 mm through a sphere of radius 6 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 $\theta$ as theta.

$\displaystyle \iiint\limits_{Bead} f \, dV = \int_A^B \!\! \int_C^D \!\! \int_E^F \!\!$ $dz \, dr \, d\theta$
A =
B =
C =
D =
E =
F =

(b) Find the mass of the bead.
grams

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You can earn partial credit on this problem.