Question

A solid is in the form of right circular cone mounted on a hemisphere the radius of the hemisphere is 2.1 cm and the height of the cone is 4 cm the solid is placed in a cylindrical tub full of water in such a way that the holes for leaders summit in water if the radius of the cylinder is 5 cm and the height is 9.8 cm find the volume of the water left in the dub

Answer 1

Volume of water left =volume of cylinder - (volume of cone + volume of hemisphere)
                                    =    770-(8.8+29.404)
                                   =     770-38.204
                                  =      731.796 CC
OR
Volume of water left=volume of cylinder-(vol of cone+ vol of hemisphere).

22/7×5×5×9.8-(1/3×22/7×2.1×2.1×4 +2/3×22/7×2.1×2.1×2.2)

=732.116