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Question

Two cones have their height in the ratio of 1 : 3 and radii 3 : 1 . The ratio of their volumes is  :


Options:
A .  1 : 1
B .  1 : 3
C .  3 : 1
D .  2 : 3
Answer: Option C

Let their height be `x , 3x` and their radii 3y, y.

Then ,Ratio of volumes = `(1/3 xx pi xx (3y)^2 xx x)/(1/3 xx pi xx y^2 xx (3x))`

                                        = `9/3 = 3/1` =   3 : 1.  



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