Question : The curved surface area of a cylinder is 968 cm2. If the height of the cylinder is 11 cm, then what will be the diameter of its base?
Option 1: 26 cm
Option 2: 22 cm
Option 3: 28 cm
Option 4: 24 cm
Correct Answer: 28 cm
Solution :
Given: The curved surface area of a cylinder is 968 cm
2
.
The height of the cylinder is 11 cm.
The curved surface area of a cylinder of radius $r$ and height $h$ is $2\pi rh$.
According to the question,
$2\times \frac{22}{7}\times r\times 11=968$
⇒ $r=\frac{968\times 7}{22\times 2\times 11}=14$ cm
The diameter of its base is $2r=2\times 14=28$ cm.
Hence, the correct answer is 28 cm.
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