Question : If the curved surface area of a cylinder is 440 cm2 and the height of the cylinder is 10 cm, then what is the radius (in cm.) of the cylinder?
Option 1: 7
Option 2: 14
Option 3: 21
Option 4: 3.5
Correct Answer: 7
Solution :
The curved surface area of a cylinder of radius $r$ and height $h$ = $2\pi rh$.
Height of the cylinder = 10 cm (given)
∴ $2\pi rh = 440$
⇒ $2 \times \frac{22}{7} \times r \times 10 = 440$
⇒ $r = 7$ cm
Hence, the correct answer is 7.
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