A spherical glass vessel has a cylindrical neck 8 cm long . . .

Question : A spherical glass vessel has a cylindrical neck 8 cm long and 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 cm³. Check whether she is correct, taking the above as the inside measurements and π = 3.14.

Doubt by Swarna

Solution : 

For Cylindrical Neck 

r=2/2 = 1 cm 

h=8 cm 

For Spherical Part
R = 8.5/2 cm 
R = 85/20 = 17/4 cm 

Volume of vessel 

= Volume of cylindrical neck + volume of hemisphere

Hence, 345 cm³ was the incorrect answer. 
Correct answer is 346.51 cm³