Question

Milk is filled in mugs which are cylindrical in shape with a raised hemispherical bottom. The mug is 14 cm high with diameter 7 cm. If rate of milk is rs 80 per l . A diary owner charges rs 43.12 for 1 month . Is it correct price? What value is exhibited by dairy owner?

Answer 1

Answer:

71.86

Step-by-step explanation:

we know that 

1 dm = 1 litre

according to question

radius    r = 0.7/2 dm

and Height    h = 1.4 dm

thus

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 80

So cost of 0.898 lit     = 80 * 0.898

                                  = 71.86 Rs

THE VALUE EXHIBITED BY DAIRY OWNER IS HONESTY

HOPE THIS HELPS

:)

WITH WARM REGARDS

@SEASONIND

Answer 2

Answer:

Step-by-step explanation:

Find the volume of the mug:

Volume of the cylinder = πr²h

Volume of the cylinder = π(7 ÷ 2)²(14) = 539 cm³

Volume of the hemisphere = 1/2 (4/3 πr³)

Volume of the hemisphere = 1/2 (4/3 π(7 ÷ 2)³) = 539/6 cm³

Volume of the mug = 539 - 539/6 = 2695/6 cm³

Convert to litre:

2695/6 cm³ = 2695/6 ml

2695/6 cm³ = 2695/6 ÷ 1000 litres

2695/6 cm³  = 0.5 litres

⇒ 1 mug = 0.5 litres

Find the price of 0.5 litres

1 litre = Rs 80

0.5 litre = 80 ÷ 2 = Rs 40

⇒ 1 mug = Rs 40

Compare:

1 mug is selling at Rs 43.12

43.12 - 40 = Rs 3.12

⇒ The owner charges Rs 3.12 more for each mug of 0.5 litre.

⇒ It is cheaper to buy 1 litre than to buy 1 mug.

The value:

The rate is cheaper if you buy in larger quantity.