Pipes and Cisterns

Water flows out through a circular pipe whose internal diameter is $2 cm$, at the rate of $6$ metres per second into a cylindrical tank. The radius of whose base is $60 cm$. The rise in the level of water in $30$ minutes is

Water flows into a tank $200$ m $\times$ $150$ m through a rectangular pipe $1.5 m \times 1.25$ m at the rate of $20$ km per hour In what time will the water rise by $2$ metres?

It is required to fix a pipe such that water flowing through it at a speed of $7 m$ per minutes fills a tank of capacity $440$ cubic metres in $10$ minutes. The inner radius of the pipe should be:

A leak in the bottom of a tank can empty it in 6 hr A pipe fills the tank at 4 L/min When the tank is full the inlet is opened but due to the leak the tank is emptied in 8 hr What is the capacity of the tank?

Water in a cylindrical tank of a diameter $4m$ and height $10m$ is released through a cylindrical pipe of diameter $10cm$ at the rate of $2.5Km/hr$. How much time will it take to empty the half of the tank? Assume that the tank is full of water to begin with.

Water flows out through a circular pipe, whose internal diameter is $\displaystyle {1} \frac{1}{3}\, cm$, at the rate of $0.63$ m per second into a cylindrical tank, the radius of whose base is $0.2$ m. By how much will the level of water rise in one hour?

The radius of a cylindrical cistern is $10$ metres and its height is $15$ meters. Initially, the cistern is empty. We start filling the cistern with water which comes out of the pipe with a velocity $5 m/s$. How many minutes will it take in filling the cistern with water?

Two taps M and N can separately fill a cistern in $30$ and $20$ minutes respectively. They started to fill a cistern together but tap M is turned off after few minutes and tap N fills the rest part of cistern in $5$ minutes. After how many minutes was tap M turned-off?

A cistern filled in $20$ hours by three pipes A, B and C. The pipe C is twice as fast as B and B is thrice as fast as A. How much hours will pipe A alone take to fill the tank?

Pipe M and N running together can fill a cistern in 6 minutes. If M takes 5 minutes less than N to fill the cistern, then the time in which N alone can fill the cistern will be

Pipes $A$ and $B$ can fill a tank in 5 and 6 hours respectively. Pipe $C$ can empty it in 12 hours. The tank is half full. All the three pipes are in operation simultaneously. After how much time the tank will be full?

A rectangular tank is $30\ m$ long $20\ m$ broad. Water is being flown into it through a square pipe of side $5\ cm$. What is the speed of water if the level of water in the tank rises by $1\ m$ in $8$ hours?

Pipe A can fill a tank in $4$ hours and pipe B can fill it in $6$ hours. If they are opened at alternate hours and if pipe A is opened first, in how many hours will the tank be filled?

Pipe A can fill a cistern in $5$ hours and pipe B can fill in $20$ hours. Both Pipe are turned on but there is a leakage in bottom of the cistern. So the cistern is filled in $30$ min. more. In how many time will leakage empty the full cistern ?

Pipe A can fill a tank in $3$ hours. If pipe B can fill the same tank in $2$ hours, how many minutes will it take both pipes to fill $2/3$ of the tank?