Two dairy owners A and B sell flavoured milk filled to capacity in mug

1.	Two dairy owners A and B sell flavoured 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 shown in given figure. Both A andB sell flavoured milk at the rate of 80 per litre. The dairy owner A uses the formulatrh to find the volume of milk in the mug and charges 43.12 for it. The dairyowner B is of the view that the price of actual quantity of milk should be charged.What according to him should be the price of one mug of milk? Which value isexhibited bv the dairy owner B? I use Ď =
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

Two dairy owners A and B sell flavoured 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 shown in given figure. Both A andB sell flavoured milk at the rate of 80 per litre. The dairy owner A uses the formulatrh to find the volume of milk in the mug and charges 43.12 for it. The dairyowner B is of the view that the price of actual quantity of milk should be charged.What according to him should be the price of one mug of milk? Which value isexhibited bv the dairy owner B? I use Ď =

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