Question

the radii of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:4 then find the ratio of their curved surface areas

Answer 1

Answer:

5:6

Step-by-step explanation:

the radii of two right circular cylinders are in the ratio 2:3

let r1/r2=2/3

their heights are in the ratio 5:4

let h1/h2=5/4

ratio of their curved surface area

r1*h1/r2*h2=10/12

                 =5/6

Answer 2

Answer:

• The ratio of their curved surface areas = 5 : 6

Step-by-step explanation:

Given that:

• The radii of two right circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4.

To Find:

• The ratio of their curved surface areas.

Let the radii of two circular cylinders be 2R and 3R respectively.

And their heights be 5H and 4H respectively.

Formula used:

• CSA = 2πRH

Where,

• Curved surface area of circular cylinder = CSA
• Radius = R
• Height = H

Finding the ratio of their curved surface areas:

= (2 × π × 2R × 5H) / (2 × π × 3R × 4H)

= 20 / 24

= 5 / 6

= 5 : 6