Find the ratio of the curved surface area of two cones if their diameter
Question:

Find the ratio of the curved surface area of two cones if their diameter of the bases are equal and slant heights are in the ratio 4: 3.

Solution:

Given that,

Diameter of two coins are equal.

Let r1 = r2 = r

Let ratio be x

Therefore slant height $\left.\right|_{1}$ of $1^{5 t}$ cone $=4 x$

Similarly slant height $I_{2}$ of $2^{\text {nd }}$ cone $=3 x$

Therefore $C . S . A_{1} / C . S . A_{2}$

$=\frac{\pi * r_{1} * l_{1}}{\pi * r_{2} * l_{2}}$

$=\frac{\pi * r * 4 x}{\pi * r * 3 x}$

= 4/3

Hence ratio is 4: 3