Question : What is the radius of a normal cylinder whose height is 21 cm and curved surface area is 1386 cm2?
Option 1: 10.5 cm
Option 2: 3.5 cm
Option 3: 7 cm
Option 4: 10 cm
Correct Answer: 10.5 cm
Solution :
Given: Height($h$) = 21 cm
Let the radius be $r$.
Curved surface area = 1386 cm
2
⇒ $1386=2\pi r h$
⇒ $1386=2\times\frac{22}{7}\times21\times r $
⇒ $r=\frac{1386\times 7}{2\times 22\times21}$
⇒ $r = 10.5~\text{cm}$
Hence, the correct answer is 10.5 cm.
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