Question
The radius of a cylinder is the same as the radius of a
circle whose circumference is 176 units. If the height of the cylinder is 25% more than its radius, find the curved surface area of the cylinder.Solution
ATQ, Let the radius of the circle (and cylinder) be = r. So, 2 * (22/7) * r = 176 Or, r = 176 * 7 / 44 r = 28 units Height of the cylinder is 25% more than radius: Height = 28 * (100 + 25) / 100 = 28 * 125 / 100 = 35 units So, curved surface area of the cylinder = 2 * (22/7) * 28 * 35 = 6160 unit²
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