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Question

A hemisphere whose diameter is 4cm, made of wood . If the a cone cut out of this hemisphere whose base is also 4cm . Find the volume of wood in hemisphere .

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Solution

Solution:-

Volume of wood in hemisphere = 2 / 3 pi r^3 - 1/3 pi r ^2h

= 1/3 pi ( r ^3 - r^2h )

= 1/3 pi ( 2^4 - 2 ^2 * 2)


= 1/3 pi ( 16 - 8)

= 8/3 pi Answer.

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