8. A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm 3 . Check whether she is correct, taking the above as the inside measurements, and .
The volume of the vessel is given by :
Volume of vessel = Volume of sphere + Volume of the cylindrical part
Now, the volume of the sphere is :
And the volume of the cylinder is:-
Thus the volume of the vessel is