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The heights of two cylinders are in the ratio 5: 3 and their radii are in the ratio 2: 3. Then, what is the ratio of their curved surface area?

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10 : 9

2 : 5

3 : 5

7 : 9

answer is A.

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Detailed Solution

Given- the heights of two cylinders are in the ratio 5: 3 and their radii are in the ratio 2: 3.

h 1 = 5 h 2 = 3 r 1 = 2 r 2 = 3

Where,

h 1

- Height of one cylinder.

h 2

- Height of the other cylinder.

r 1

- Radius of one cylinder.

r 2

- Radius of the other cylinder.
To determine the ratio of curved surface area.

C S A = 2 π r h = 2 π r 1 h 1 2 π r 2 h 2 = r 1 h 1 r 2 h 2 = 2 × 5 3 × 3 = 109 = 10 : 9

Thus, the ratio of curved surface area is

10 : 9.

Hence, option 1 is the correct option.

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