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.
Students who need to copy your working (assuming they see it) will hardly have sufficient grasp of the material to pass the exam. (And besides, if you are concerned about it being copied, then it seems likely that it forms part of a graded assignment, in which case we have unwittingly given you unfair help ....) You can always advise your instructor of this thread and suggest s/he check all homework against what you posted ....