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Question

A cylindrical vessel open at the top has diameter 20 cm and height 14 cm. Find the cost of tin-plating it on the inside at the rate of 50 paise per hundred square centimetre.

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Solution

Given:Diameter, d=20 cmRadius, r= 10 cmHeight, h=14 cmArea inside the cylindrical vessel that is to be tin-plated=SS=2πrh+πr2=2π×10×14+π×102=280π+100π=380×227 cm2=83607 cm2According to question:Cost per 100 cm2 = 50 paiseCost per cm2 = Rs 0.005Cost of tin-plating the area inside the cylindrical vessel= Rs 0.005×83607=Rs 41.87=Rs 5.97

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