If the radius of the circular base of a right circular cone is tripled, find the ratio of the volume of the first one to that of the second, the height remaining same.

If the radius of the circular base of a right circular cone is tripled

1.	If the radius of the circular base of a right circular cone is tripled, find the ratio of the volume of the first one to that of the second, the height remaining same.
Answer» Suppose thatRadius of the base is r, and the height of the original cone is h.Then,VOLUME of the original cone (V 1 )= 31 πr 2 HWHEN cone REDUCED then, radius = 2r height =hNow,Volume of the reduced cone (V 2 )= 31 π( 2r ) 2 h = 41 ( 31 πr 2 h) = 41 V 1 $$ ∴ V 1 V 2 = 41 =1:4

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If the radius of the circular base of a right circular cone is tripled, find the ratio of the volume of the first one to that of the second, the height remaining same.​

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If the radius of the circular base of a right circular cone is tripled, find the ratio of the volume of the first one to that of the second, the height remaining same.