Question : The height and curved surface area of the cylinder are 15cm and 330 cm2. Find the diameter of the cylinder.
Option 1: 2 cm
Option 2: 5 cm
Option 3: 7 cm
Option 4: 6 cm
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Correct Answer: 7 cm
Solution : Given, Height = 15 cm Curved surface area = 330 cm 2 We know, The curved surface area of the cylinder = $\pi dh$, where $d$ = diameter and $h$ is the height. ⇒ $330=\pi\times d\times 15$ ⇒ $330=\frac{22}{7}\times d\times15$ ⇒ $d=\frac{330\times7}{22\times15}$ ⇒ $d=7$ cm Hence, the correct answer is 7 cm.
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