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.  

 

Answer 1

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`