Question

there is a cylindrical tank with the volume of 2205 ml. a pipe is connected to the tank and fill water in it at the speed of 220 ml per minute and the tap is connected to the tank which is open at all time and the speed of flow of water from the tank is 24 ml per minute. how much time will it take to fully fill up the tank?

Answer 1

volume of cylinderical tank = 2205 ml

a pipe is connected to the tank and fill water in it at speed of 220ml /minute. and the tap is connected to the tank which is open at all time and speed of flow of water from tank is 24ml/minute

Let time taken to fill up the tank is T minutes

the tap is open at all time during process.

so, volume of water from tank = 24T

and volume of water fill in tank after T time =
220T ml

so, 220T - 24T = 2205

or, 196T = 2205

hence, T =11.25 minutes = 11.25 × 60 =675 sec

hence, 675 sec time taken to fill the tank.