Evaluate the following integral in spherical coordinates. This integral calculates the volume of the figure to the right, which is not drawn to scale.\
$int_{0}^{2pi} int_{0}^{frac{pi}{6}} int_{0}^{3secphi}
ho^2 sinphi ,d
ho ,dphi ,d heta$\
$int_{0}^{2pi} int_{0}^{frac{pi}{6}} int_{0}^{3secphi}
ho^2 sinphi ,d
ho ,dphi ,d heta = frac{(749 - 375sqrt{3})}{18}$ \
(Type an exact answer, using (pi) as needed.)
