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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

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