Question

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

Answer 1

Answer:

The maximum volume of cone = ( π r³ ) / 3 , where ' r ' is the radius of hemisphere .

Step-by-step explanation:

Volume of cone = ( 1 / 3 ) * π * r² * h

Now , since the cone is to be taken out of a hemisphere , hence ;

Radius of cone = Radius of hemisphere = r

Height of the cone = Radius of hemisphere = r

Hence , the maximum volume = ( 1 / 3 ) * π * r² * r

= ( π r³ ) / 3

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