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

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answer is D.

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Detailed Solution

According to the given information from a solid cylinder of radius 3.5 cm and 10 cm a shape of hemisphere with the same radius of cylinder
Height of the cylinder = 10 cm
Radius of base of cylinder = 3.5 cm
volume of cylinder is given as

(equation 1)
Substituting the values in equation (1) we get

volume of hemisphere is given as;

(equation 2)
Substituting the values in equation (2) we get
Question Image

Volume of toy=Volume of cylinder−2×Volume of hemisphere

Therefore, the Volume of toy is equal to

(option 4)
So, we write it as

So, option 4 is correct.

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