The curved surface area of a cylinder 5cm high is \(110\text{cm}^2\). Find the radius of its base \(\pi = \frac{22}{7}\)
Question 1 Report
The curved surface area of a cylinder 5cm high is \(110\text{cm}^2\). Find the radius of its base
\(\pi = \frac{22}{7}\)
Answer Details
The problem gives us the height and curved surface area of a cylinder and asks us to find the radius of its base. The formula for the curved surface area of a cylinder is 2πrh, where r is the radius and h is the height.
We are given h = 5cm and curved surface area = 110cm². Substituting these values into the formula, we get:
2πr(5) = 110
Simplifying, we get:
πr = 11
Dividing both sides by π, we get:
r = 11/π
The value of π is given as 22/7, so substituting this in the equation, we get:
r = 11/(22/7)
r = 3.5cm
Therefore, the radius of the cylinder is 3.5cm. Option (B) is the correct answer.
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