A donor agency ensures milk is supplied in containers, which are in the form of a frustum of a cone to be distributed to flood victims in a camp. The height of each frustum is 30 cm and the radii o...

Question

A donor agency ensures milk is supplied in containers, which are in the form of a frustum of a cone to be distributed to flood victims in a camp. The height of each frustum is 30 cm and the radii of whose lower and upper circular ends are 20 cm and 40 cm respectively. If this milk is available at the rate of Rs.35 per litre and 880 litres of milk is needed daily for a camp.
(a) Find how many milk containers are needed daily for the camp.

(b) What daily cost will it put on the donor agency?

(c) What value of the donor agency is depicted in this situation?

Philoid · Accepted Answer

(a) Amount of milk one container can hold = Volume of frustum

As we know

volume of frustum of a cone

Where, h = height, r₁ and r₂ are radii of two ends (r₁ > r₂)

For given container,

Radius of top, r₁ = 40 cm

Radius of bottom, r₂ = 20 cm

Height of each container, h = 30 cm

Using these values,

We have.

Now,

1000 cm³ = 1 L

⇒ 88000 cm³ = 88 L

No of container required

(ii) Cost = Amount of milk × Rate of milk

Cost = 880 × 35 = 30800 RS

(iii) The organization empathies with the victims and aspires to help the needy ones, the agency portrays the values of kindness and humanity.