from a handpicked tutor in LIVE 1-to-1 classes

# A housing society consisting of 5,500 people needs 100 L of water per person per day. The cylindrical supply tank is 7 m high and has a diameter 10 m. For how many days will the water in the tank last for the society?

**Solution:**

Volume of the Tank supplying water to society = πr²h = π × (5)² × 7m³ = 550m³

Volume of Tank in cm³ = 550,000,000cm³

We know

1 litre = 1000 cm³

The Housing society needs = 5500 × 100000 cm³ = 550000000cm³ per day

The number of Days will the water in the tank last for the society = 550,000,000cm³/550,000,000 = 1 day

**✦ Try This: **A housing society consisting of 4,400 people needs 100 L of water per person per day. The cylindrical supply tank is 14 m high and has a diameter 8 m. For how many days will the water in the tank last for the society?

Volume of the Tank supplying water to society =πr²h = π × (4)² × 14m³ = 704m³

Volume of Tank in cm³ = 704,000,000cm³

We know

1 litre = 1000 cm³

The Housing society needs = 4,400 × 100000 cm³ = 440,000,000cm³ per day

The number of Days will the water in the tank last for the society = 704,000,000cm³/440,000,000 = 704/440 = 64/40 = 16/10 = 1.6 days

**☛ Also Check:** NCERT Solutions for Class 8 Maths Chapter 11

**NCERT Exemplar Class 8 Maths Chapter 11 Problem 106**

## A housing society consisting of 5,500 people needs 100 L of water per person per day. The cylindrical supply tank is 7 m high and has a diameter of 10 m. For how many days will the water in the tank last for the society?

**Summary:**

A housing society consisting of 5,500 people needs 100 L of water per person per day. The cylindrical supply tank is 7 m high and has a diameter of 10 m. The water will last for 1 day for the whole society

**☛ Related Questions:**

- Metallic discs of radius 0.75 cm and thickness 0.2 cm are melted to obtain 508.68 cm³ of metal. Find . . . .
- The ratio of the radius and height of a cylinder is 2:3. If its volume is 12,936 cm³, find the total . . . .
- External dimensions of a closed wooden box are in the ratio 5:4:3. If the cost of painting its outer . . . .

visual curriculum