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Question
Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4 : 3.
Solution
Given that,
Diameter of two cones area equal
∴ Their radius are equal
Let` r_1=r_2=r`
Let ratio be x
∴ `"Slant height l_1= of 1^st cone =4x"`
`"Similarly slant height l_2 of 2^nd cone=3x."`
∴ `(C.S.A_1)/(C.S.A_2)=(pir_1l_1)/(pir_2l^2)=(pixxrxx4x)/(pixxrxx3x)=4/3`
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