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Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm. - Mathematics

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प्रश्न

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm. 

योग
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उत्तर

 
For the volume of cone to be largest, h = r cm

Volume of the cone 

= `1/3pir^2h` 

= `1/3pi xx r^2 xx r` 

= `1/3pir^3`  

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