A bucket, made of metal sheet, is in the form of frustum of a cone whose height is 35 cm and the radii of its circular ends are 30 cm and 12 cm. How many litres of milk it can contain if it is full to the brim? If the milk is sold at ` 40/litre, find the amount received by the person.

If the person sells half the milk at half the rate to the economically weaker section of society, what value is exhibited through this question?

Given:

Height of cone (h) = 35 cm

Radius of one end (r₁) = 30 cm

Radius of other end (r₂) = 12 cm

Price = Rs 40/litre

⇒ Capacity of container = 110×468

⇒ Capacity of container = 51,480 cm³

⇒ Capacity of container = 51.48 litres

Now,

Cost of 1 litre milk = Rs 40

Cost of 51.48 litres milk = Rs 40 × 51.48 = Rs 2059.20

If he sells half the milk at half the rate,

Quantity of half the milk = 25.74 litres

Cost of 25.74 litres @ Rs 20 = Rs 25.74 × 20 = Rs 514.80

Cost of 25.74 litres @ Rs 40 = Rs 25.74 × 40 = Rs 1029.60

Total Cost = Rs 514.80 + Rs 1029.60 = 1544.40

Hence,

Capacity of container = 51.48 litres

Total Amount he received = Rs 2059.20

Total Cost (if he sell half milk at half the rate) = 1544.40