Question

Two circular cones have equal radii if their slant Heights are in the ratio 4:3 then find ratio of their curved surface area

Answer 1

Radii are equal .
Let radii be r and r respectively .

Ratio of slant height = 4:3
Let ratio constant be x .
L1 = 4x
L2 = 3x

Now ,

Curved surface area of first cone = pie * r * L1
= pie * r * 4x

Curved surface area of second cone = pie * r * L2
= pie * r * 3x

Ratio of CSA ( 1 ) and CSA ( 2 )
= pie * r * 4x / pie * r * 3x
= 4x / 3x
= 4/ 3
= 4 : 3

So , required ratio is 4 : 3