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
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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