Question

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 cm³ . Check whether she is correct, taking the above as the inside measurements and n = 3.14.

Answer 1

Diameter of spherical glass vessel = 8.5 cm. 

∴ r = 4.25 cm. 

Length of cylindrical neck = 8 cm. 

Diameter = 2 cm. 

∴ Radius, r = 1 cm. 

Volume of water she found = 345 cm³ .

(i) Volume of Cylinder neck, V