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What is the maximum volume of a cone tha...

What is the maximum volume of a cone that can be carved out of a solid hemisphere of radius 'r' ? [Leave your answer in terms of `pi` ]

A

` (1)/(3) pi r^(3)`

B

` (1)/( 9) pi r^(3)`

C

` (1)/(3) pi r^(2)`

D

`pi r^(3)`

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