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Question

The curved surface area of a cylinder is 1,650 cm2. Its base has a circumference of 55 cm. The height of the cylinder is:

A
15 cm
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B
30 cm
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C
40 cm
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D
55 cm
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Solution

The correct option is B 30 cm
Let r be the radius of the base of the cylinder and h be its height.
Then, Circumference of the base =2π r
Curved surface area of the cylinder =2π rh

As per the data given, 2π r=55 cm and 2π rh=1,650 cm2.

Thus, h=1,65055=30 cm.

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