Question : The radius of the base and curved surface area of a right cylinder are $r$ units and $4\pi rh$ square units respectively. The height of the cylinder is:
Option 1: $\frac{h}{2}$ units
Option 2: $h$ units
Option 3: $2h$ units
Option 4: $4h$ units
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Correct Answer: $2h$ units
Solution :
Given: Radius of base = $r$ units
The curved surface area of the right cylinder = $4\pi rh$
We know that,
The curved surface area of a cylinder = $2\pi rH$, where $r$ and $H$ are the radius and height of the cylinder.
According to the question,
⇒ $2\pi rH$ = $4\pi rh$
⇒ $H$ = $2h$
Hence, the correct answer is 2$h$ units.
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