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Question

The heights of two cylinders are equal and their radii are in the ratio of 3: 2 then the ratio of their curved surface areas is______

A
3: 2
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B
2: 1
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C
3: 1
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D
4: 3
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Solution

The correct option is A 3: 2
Curved Surface Area of a Cylinder of Radius "r" and height "h" =2πrh
Let r1 and h be the radius and height of the first cone and r2 and h be the radius and height of the second cone.
Now, ratio of their surface area is calculated as:
S1:S2
=2πr1h:2πr2h
=r1:r2
=3:2
Hence, their surface areas are in the ratio 3:2

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