The diagram given below shows a non-uniform continuum body in its reference (undeformed) configuration that is bounded below by the plane X3 = 0 and is bounded above by the sphere X1^2 + X2^2 + X3^2 = 16.
If the density of the body is
Ļ(X1, X2, X3) = 75 / (73 - (X1^2 + X2^2 + X3^2)^(3/2))
then the mass of the body (rounded to two decimal places) is equal to:
(a) 204.51
(b) 234.43
(c) 328.80
(d) 481.69
(e) 310.39