Answer :

Given internal diameter of cylinder = D = 10 cm


Internal radius of cylinder = R = D/2 = 10/2


Internal radius of cylinder = R = 5 cm


Height of cylinder = H = 10.5 cm


Diameter of solid cone = d = 7 cm


Radius of solid cone = r = d/2 = 7/2


Radius of solid cone = r = 3.5 cm


Height of cone = h = 6 cm


(i)Volume displaced out of cylinder


By Archimedes principle we can easily say that,


Volume displaced out of cylinder = Volume of the solid cone






V = 22 × 1.75 × 2


V = 77 cm3


The volume displaced out of cylinder is 77 cm3.


(ii)Volume left in cylinder


Volume left in cylinder = Volume of cylinder – Volume displaced out


Volume of cylinder = π(R)2H


Volume of cylinder = π × (5)2 × 10.5 (putting the given values)


Volume of cylinder = π × 25 × 10.5


Volume of cylinder = π × 262.5



Volume of cylinder = 22 × 37.5


Volume of cylinder = 825 cm3eqn1


Volume left in cylinder = 825 – 77 (from eqn1 and (i))


Volume left in cylinder = 748 cm3


The volume left in the cylinder is 748 cm3.


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