Question

The diameters of the base of two cone are equal and their slant height are in the ratio 5 : 4 . If curved surface area of the smaller cone is 400 sq.cm , then find the curved surface area of bigger cone.

Answer 1

Hey! Here is your answer..

since the diameters are equal radii will be equal.

Let slant heights be 5x and 4x

CSA of cone=πrl

CSA of big cone÷CSA of small cone =πRL÷πrl

=L÷l (Radii are equal)

=5÷4

Now,

400÷ CSA of big cone=4÷5

CSA of big cone=500cm²

Hope this helps...