Question

If radii of two circular cylinders are in the ratio 3:2 and their heights are in the ratio 8:9, find the ratio of their lateral surface area.
pls fast ​

Answer 1

Step-by-step explanation:

Let the radii of two cylinder be 3x and 2x.

And let the heights of two cylinder be 8y and 9y.

Ratio of their lateral surface area

$= \frac{2 \times \pi \times r \times h}{2 \times \pi \times r \times h}$

$= \frac{3x \times 8y}{2x \times 9y}$

$= \frac{4}{3}$

= 4 : 3

Answer :- The ratio of lateral surface area is 4 : 3.