Question

Water pours in to a cylindrical tank of base radius 3 m at a constant rate of 1.2
kl per hour. How much does the water level rise in 6hours?

Answer 1

Given,

The radius of the base of the tank is 3 metres

The water pouring rate is 1.2 KL per hour

To find,

The rise of the water level in 6 hours.

Solution,

First of all, we have to simplify the water pouring rate.

1.2 KL = 1200 litres

(Term of unit conversion 1 KL = 1000 litres)

Amount of poured water in 6 hours

= 1200 × 6

= 7200 litres

= 7.2 m³

(Term of unit conversion 1 m³ = 1000 litre)

Let,the rise of the water level = h metres

Volume = π × (3)² × h = 22/7 × 9 × h = 198h/7 m³

According to the data mentioned in the question,

198h/7 = 7.2

h = 7.2×7/198

h = 0.25

Hence, the level of water rising will be 0.25 metres.