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Question

The cost of painting the total outer surface of a closed cylindrical oil tank at 60 paise per sq. cm is Rs.247.60. The height of the tank is 6 times the radius of the base of the tank. Find height and radius of the tank. (Use π=227).

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Solution

Let the radius = r dm
then height = 6r dm
volume of cylinder= πr2h
= πr2×6r
the cost of painting the cylinder 60 paise per dm2 is given by 247.60
i.e.volume×0.6=247.60
volume=247.600.6
volume=412.66

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