Question : The curved surface area of a right circular cylinder of height 56 cm is 1408 cm². Find the diameter of the base of the cylinder.
Option 1: 8 m
Option 2: 0.04 m
Option 3: 0.08 m
Option 4: 0.008 m
Correct Answer: 0.08 m
Solution :
Let the diameter of the base of the cylinder be $d$ cm.
We know,
The curved surface area of a right circular cylinder = $\pi dh$, where $h$ is the height of the cylinder.
Here, $\pi dh=1408$
⇒ $\frac{22}{7}×d×56=1408$
⇒ $d=\frac{1408×7}{22×56}=8$ cm = 0.08 m.
Hence, the correct answer is 0.08 m.
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