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Question

A rectangular cardboard sheet of length 44 cm and breadth 15 cm is rolled along its length to form a cylinder find the curve surface area and the volume of this cylinder

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Solution

Length of the sheet = 44 cmBreadth of the sheet = 15 cmNow, when the rectangular sheet is rolled along its length, then a cylinder is formed.Now, circumference of base = 44 cm2πr = 442×227×r = 44 where, r = radiusr = 7 cmNow, height of cylinder, h = 15 cmCSA = 2πrh = 2 × 227 × 7 × 15 = 660 cm2Volume = πr2h = 227 × 7×7×15 = 2310 cm3

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