I need to find the volume of region bounded above by sphere and below by the inverted cone and also find the centre of gravity with density equalling constant.
I set up my bound and triple integral as
and after solving i got approx 28.60
using symetry, the centre of gravity is on the z axis and using the formula for centre of mass:
and subsituting above result and
solving with bounds stated in first part i got
does this look correct? thanks for any help.