Math, asked by Amil6218, 1 year ago

An edge of a cube measures rcm . if the largest possible right circular cone is cut out of this cube ,then find the volume of the cone

Answers

Answered by HarshRedliner
3
Refer to the image... As per my knowledge this is right
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Answered by nitthesh7
7
The possible right circular cone when cut out from a cube of side "r" cm would

have dimensions as

h = r cm 

d = r cm

r' = r/2 cm

From these values we get,

Volume of Cylinder = 1/3 πr'²h
                            
                               = 1/3 π × (r/2)² × r
                              
                                = 1/3 π × r²/4 × r

                                = 1/12 × πr³

                                = πr³/12 cm³

So the volume of largest cone is   πr³/12 cm³


☺ Hope this Helps ☺


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