Q. 294.0( 3 Votes )

A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the volume of wood in the toy.

Answer :

Given height of cylinder = h = 10 cm


Radius of cylinder = r = 3.5 cm


Radius of hemisphere = R = 3.5 cm


Explanation: In this question the volume of wood in toy can be calculated by subtracting the volume of two hemisphere from the volume of cylinder.


So, volume of cylinder = πr2h


Where r = radius of cylinder and h = height of cylinder


Volume of cylinder = π × (3.5)2 × 10 (from given values)


Volume of cylinder = π × 12.25 × 10


Volume of cylinder = 122.5π cm3eqn1


Volume of a hemisphere(where R is radius of hemisphere)






Volume of two hemisphere


Volume of wood in toy = eqn1 – eqn2


Volume of wood in toy


(taking π common)






Volume of wood in toy = 205.333 cm3


Volume of wood in toy is 205.333 cm3.

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