The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base π = 227

The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base
π = $\frac{22}{7}$

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.