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14.Two dairy owners A and B sell milk filled to capacity in mugs of negligiblethickness, which are cylindrical in shape with a raised hemispherical bottom. Themugs are 14 cm high and have diameter of 7 cm as in given figure Both A and B sellmilk at the rate of rs. 80 per litre. The dairy owner A uses the formula n r'h to findthe volume of milk in the mug and charges rs. 43.12 for it. The dairy owner B is ofthe view that the price of actual quantity of milk should be charged. What accordingto him should be the price of one mug of milk?

Answer»

We know that1 dm = 1 litre

according to questionradius r = 0.7/2 dmand Height h = 1.4 dmthus

Volume of mug = pi r^2 h - 2/3 pi r^3 = pi r^2 (h - 2/3 r) = 22/7 * 0.49/2 (1.4 - 1.4/6) = 0.898 lit

Cost of 1 lit milk = Rs 80So cost of 0.898 lit = 80 * 0.898 = 71.86 Rs

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answer amount should be charged for 1 mug of milk by Dairy owner b is 35. 93 rupees



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