There is water to a height of 14 cm in a cylindrical glass jar of radius 8 cm Inside the water there...

Question

There is water to a height of 14 cm in a cylindrical glass jar of radius 8 cm Inside the water there is a sphere of diameter 12 cm completely immersed By what height will the water go down when the sphere is removed

Accepted Answer

Solution When the sphere is removed than the amount of water decreased will be equivalent to the volume of the sphere Given radius of the glass jar R 8 cm Diameter of the sphere 12 cm Radius of the sphere r 122 6 cm When the sphere is removed from the jar volume of water decreases Let h be the height by which water level will decrease Volume of water decreased Volume of the sphere Rsup2suph 43 rsup3sup 8sup2suph 436sup3sup h 4366688 184 92 45 cm Hence the height by which water level decreased is 45 cm

ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration