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

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Question

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

Sum
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Solution

 
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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Chapter 20: Cylinder, Cone and Sphere - Exercise 20 (E) [Page 312]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 20 Cylinder, Cone and Sphere
Exercise 20 (E) | Q 7. | Page 312

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