Question : The curved surface area of a cylinder is five times the area of its base. Find the ratio of the radius and height of the cylinder.
Option 1: 2 : 3
Option 2: 3 : 5
Option 3: 2 : 5
Option 4: 3 : 4
Correct Answer: 2 : 5
Solution :
Given: The curved surface area of a cylinder is five times the area of its base.
Use the formulas,
The curved surface area of the cylinder =
The area of the base of the cylinder =
where
According to the question,
⇒
⇒
Hence, the correct answer is 2 : 5.
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