Question

An empty roof-top water tank is 3 m long, 2m wide, and 1 m high. Water flows in from an inlet pipe at 30 l per minute for 2 hours and 55 minutes. What is the depth of the water in the tank now? How many more litres of water will be required to fill the tank?​

Answer 1

Answer:

Given:

Length= 3m

Breadth = 2m

Height= 1m

Time Taken = 2 hours 55 minutes

To Find:

The depth of the water tank.

&

How many more litres of water will be required to fill the tank?

Solutions:

Water filled in Tank = 30l × 175 minutes

$= 5250l = 5.25 {m}^{3}$

Now, Formula for volume of water in a cuboid tank = l×b×h

Thus,

$\: 3 \times 2 \times h = 5.25 {m}^{3}$

(given length= 3m and breadth = 2m)

$= > h = \frac{5.25 {m}^{3} }{6 {m}^{2} } = 0.875m = 87.5cm$

So, the depth of water in the tank = 87.5 cm

Total Volume of Tank = 3m×2m×1m

$= {6m}^{3}$

=6000l

Less:Volume of water in the tank= 5250l

Thus, water required to fill the tank =(6000-5250) l =750 l