Question

There are floods in Kerala.The "Divine society charitable trust" plans to distribute 7392 litres of milk to the victim. The milk is packed in many conical cups of radius 7cm and height 12cm. Estimate the number of cups that can be distributed to the victims. What gesture of the trust is reflected with this act? If the cost of one conical cup is ₹2 and cost of milk is ₹40 per litre estimate the total cost of the trust.

Answer 1

Answer:

Number of the conical cups are used be 12010 .

Helping of the victims gesture  reflected here .

The total cost of the milk and conical cups provided by the trust is $319700 .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}$

Where r is the radius and h is the height .

As given

There are floods in Kerala.The "Divine society charitable trust" plans to distribute 7392 litres of milk to the victim.

The milk is packed in many conical cups of radius 7cm and height 12cm.

r = 7 cm

h = 12 cm

$\pi = 3.14$

$Volume\ of\ a\ cone = 3.14\times 7\times 7\times \frac{12}{3}$

$Volume\ of\ a\ cone = 3.14\times 7\times 7\times 4$

                                         = 615.44 cm³

As

1 litre = 1000 cm³

Thus convert 7392 litres into cm³ .

7392 = 7392 × 1000 cm ³

         = 7392000 cm³

Let us assumes that the number of cups  that can be distributed to the victims be x .

Equations becomes

615.44 × x = 7392000

615.44x = 7392000

$x = \frac{7392000}{615.44}$

x = 12010 (Approx)

Thus 12010 cups  that can be distributed to the victims .

Helping of the victims gesture  reflected here .

If the cost of one conical cup is ₹2 and cost of milk is ₹40 per litre .

Total cost of the milk and conical cups provided by the trust = Cost of conical cups × Number of cups + Cost of the milk per litres × Total litres of milks used .

Total cost of the milk and conical cups provided by the trust = 2 × 12010 + 40 × 7392

Total cost of the milk and conical cups provided by the trust =24020 + 295680

Total cost of the milk and conical cups provided by the trust = $ 319700

Thus the total cost of the milk and conical cups provided by the trust is $319700 .