Question
The ratio of the curved surface area and the total
surface area of a cylinder is 5:7, respectively. Find the ratio of the height and radius of the cylinder.Solution
Let the radius and height of the cylinder be ‘r’ cm2 and ‘h’ cm2 Curved surface area = 2πrh cm2 Total surface area = 2πr(h + r) cm2 According to the question, (2πrh):{2πr(h + r)} = 5:7 Or, 7h = 5 × (h + r) Or, 7h = 5h + 5r Or, 2h = 5r Or, (h/r) = (5/2) Or, h:r = 5:2
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