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Two right circular cones of equal volumes have their heights in the ratio 1 : 2 then prove that the ratio of their radii is √2 : 1.

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Two right circular cones of equal volumes have their heights in the ratio 1 : 2 then prove that the ratio of their radii is √2 : 1.

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Let Radii of two right circular cones be r1 and r2 

Ratio of heights = h1 and h2 

Ratio of volumes = V1 and V2

V1 = V2 so,

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