A housing society consisting of 5500 people needs 100L of water per person per day. the cylindrical supply tank is 7m high and has a diameter of 10m. for how many days will the water in the tank last for the society?

Water in the tank will last for 1 day.

Step-by-step explanation:

Step 1:

Given diameter of tank = 10m, so radius = 5m,

height of tank = 7m

Number of people in society = 5500, number of L per day per person = 100L

Step 2:

Calculate total liters of water required

⇒ Total L required in the society = 5500 * 100 = 550,000 L

Step 3:

Calculate volume of water in tank in 1 day

⇒ Volume of cylinder = πr²h = 22/7 * 5 * 5 * 7

⇒ Volume = 22 * 25 = 550 m³

⇒ Volume = 550,000 L (since 1 m³ = 1000 L)

Step 4:

Calculate number of days water will last

⇒Number of days = Total water required/Volume of tank

= 550,000/550,000

⇒ Number of days = 1