Question

The dimensions of a rectangular water tank are 10m ×200m × 6m.If it is filled with a rectangular pipe of dimension 1m ×1m at a speed of 6km/h then in how much time will the water rise by 2m? ​

Answer 1

Answer:

Volume of the tank=200×150×2=60000m3

Length of water column flow in 1 min=6020×1000=31000m

Volume of water flown per minute=1.5×1.25×31000=625m3/min

∴Time required to rise the water by 2m=62560000=96min

Answer 2

Find the time taken to fill the tank for given measurements.

Explanation:

• Given the dimensions of the rectangular water tank to be $10\ x\ 200\ x\ 6\ m$ hence we have, $l=10\ m,\ b=200\ m,\ h=6\ m$
• Hence when the water when it rises by two meters if given, the height of the resultant cuboid is two meters.
• Hence, the volume of the water when is rises by two meters is , $V=10(200)(2)\ \ \ \ \ ->V= 4000\ m^3$
• Given the speed of water 's' and the area of crass section of the water pipe 'A'. The volume of water passing through the pipe per hour is , $v=sA$
• here $s=6km/h=6000\ m/h \ \ \ \ \ \ \ \ \ \ ->A=1\ m^2$ hence the volume passing through pipe per hour is , $v=6000 \ m^3/h$
• hence time taken to fill the tank till water rises by two meters is , $t=\frac{4000}{6000}=\frac{2}{3}\ hrs \ \ \ \ \ ->t= 40\ min$
• It will take $40$ minutes to fill the tank till water rises by two meters.