The diameter of two right circular cones are equal. If their slant heights are in the ratio $3 : 2$ , then what is the ratio of their curved surface areas?

9 : 4

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\sqrt{3} : \sqrt{2}

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3 : 2

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2 : 3

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Solution

The correct option is D $3 : 2$
Ratio of the curved surface of two cones with equal radii
$= π r . l_{1} : π r l_{2}$
$= l_{1} : l_{2} = 3 : 2$ .

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