Question

If a tank that holds 1000 litres takes 15 minutes to fill, at what rate is it filling per second, give answer to 2 decimal spaces?

Answer 1

Answer:

Volume of tank = 2 litre = 0.002 cu metre

Speed of water = 1 m / sec , ie in 1 second height of water in the pipe = 1 m

Radius of the pipe = 0.01 m

=> volume of water in pipe (supposed it as a cylinder) in 1 second=

Pi r^2*h = pi * (0.01)^2 * 1 = 0.0001pi cu m

But volume of tank = 0.002 cu m

So, Time taken to fill the tank =

(Volume of tank)/(volume of pipe)

= 0.002/0.0001pi = 6.36 sec ( approx)

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Answer 2

Answer:

The tank is filling at the rate of 1.11 liters/sec.

Step-by-step explanation:

This is a problem of flow rate of fluid.

• The flow rate of a fluid is the quantity of fluid that passes through an area in a particular time.
• The flow rate = flow area * flow velocity.
• The flow rate = volume of fluid per unit time.
• Flow rate determines the time taken to fill a particular volume.

Given information,

Volume of tank = 1000 liters = 1 $m^{3}$

Since 1 liter = 0.001 $m^{3}$

Time taken to fill the tank = 15 min = 15*60 = 900 sec

Since 1 minute = 60 seconds

Flow rate = $\frac{Volume of fluid or tank}{Time taken to fill}$

Flow rate = $\frac{1}{900}$ m³/s

Flow rate of water = 0.00111 m³/s = 1.11 liters/sec

The tank is filling at the rate of 1.11 liters/sec.

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