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\ c m^3`. Check whether she is correct, taking the above as the inside measuremets.

Explanation

Not correct
Given spherical glass vessel is a combination of sphere as its base and a cylinder as its neck.
Also we have height of the cylinder `(h_(1))` =8cm
Radius of the cylinder `(r_(1))=(2)/(2)`=1cm
and radius of the sphere `(r_(2))=(8.5)/(2)cm`
The volume of water filled in spherical glass vessel
=volume of cylider + volume of sphere
`=pir_(1^(2))h_(1)+(4)/(3)pir_(2)^(3)`
`=3.14xx1xx1xx8+(4)/(3)xx3.14xx(8.5)/(2)xx(8.5)/(2)xx(8.5)/(2)`
`=25.12+(1928.3525)/(6) =25.12+321.39=346.51 cm^(3)`