## You are given balls and stick model of six carbon atoms and fourteen hydrogen

You are given balls and stick model of six carbon atoms and fourteen hydrogen atoms and sufficient number of sticks. In how many ways one can join the models of six carbon atoms and fourteen hydrogen atoms to form different molecules of C6H14.

15th April 2019

92

## Two dairy owners A and B sell flavored milk filled to capacity in mugs

Two dairy owners A and B sell flavored milk filled to capacity in mugs of negligible thickness, which are cylindrical in shape with a raised hemispherical bottom. The mugs are 14 cm high and have diameter of 7 cm as shown in given figure. Both A and B sell flavored milk at the rate of Rs. 80 per liter. The dairy owner A uses the formula πr2h to find the volume of milk in the mug and charges Rs. 43.12 for it. The dairy owner 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 is exhibited by the dairy owner B? (Use π = 22/7)

Capacity of mug (Actual quantity of milk) = πr2h - 2/3 πr3

= πr2(h - 2r/3)

r = 7/2 and h = 14

Capacity of mug = 2695/6 cm3

Amount dairy owner B should charge for one mug of milk

= 2695/6 × 80/1000

= Rs. 35.93

Value exhibited by dairy owner B: honesty

15th April 2019

84