Q. 495.0( 8 Votes )

# A cylindrical tank full of water is emptied by a pipe at the rate of 225 liters per minute. How much time will it take to empty half the tank, if the diameter of its base is 3 m and its height is 3.5 m?

Answer :

Diameter of the cylindrical base =3 m

∴ Radius of cylindrical tank m

= 1.5 m

Height of the tank =3.5 m

Volume of the tank

= 24.75 m^{3}

Now, 1 m^{3} = 1000 liters

24.75 m^{3} =1000 × 24.75 liters

= 24750 liters

Full quantity of the water when it is full = 24750 m^{3}

Quantity of water when it is half filled liters

= 12375 liters

Time taken by it to empty 225 liters 0f water = 1 minute

∴ Time taken by it empty 12375 litersof water = minutes

= 55 minutes

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