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Question

a cylinder tin of height 20 cm and radius of the base 18 cm is open at the top. find the cost oof painting it from he inside at rs 3 per cm.

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Solution

Total Surface Area = Lateral Surface Area + Area of base = 2πrh + πr2
Nor given h=20 and r=18
Thus , total surface area = 2π*18*20 + π*(18)2 = π ( 720 + 324) = 1044π = 3281 cm2
Rate of painting = Rs. 3 / cm2
Thus total cost of painting = rate of painting * total area = 3* 3281 = Rs. 9843

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