A r a rectangular water reserve having base 120m × 40m is 6.5 metre D

1.	A r a rectangular water reserve having base 120m × 40m is 6.5 metre Deep can the water be emptied from the pipe which cross section is a square of side20cm if water runs through pipe at a rate of 15km/hr
Answer» Answer: 52 HOURS Step-by-step EXPLANATION: Length of reservoir = 80 m BREADTH of reservoir = 60 m Depth of reservoir = 6.5 m Volume of reservoir = Length \times Breadth \times DepthLength×Breadth×Depth Volume of reservoir = 80 \times 60 \times 6.5=31200m^380×60×6.5=31200m 3 Rate = 15Km per HOUR So, Amount of water flowing in 1 hour = 15 km = 15000 m So, Volume of water coming out of cross section in 1 hour = 0.2 \times 0.2 \times 15000 = 6000.2×0.2×15000=600 So, Time taken to empty tank = \frac{\text{Volume of tank }}{\text{Volume of water coming out in 1 hour }} Volume of water coming out in 1 hour Volume of tank Time taken to empty tank = \frac{31200}{600} 600 31200 Time taken to empty tank = 5252 Hence it will take 52 hours to empty tank

A r a rectangular water reserve having base 120m × 40m is 6.5 metre Deep can the water be emptied from the pipe which cross section is a square of side20cm if water runs through pipe at a rate of 15km/hr

Answer»

Answer:

52 HOURS

Step-by-step EXPLANATION:

Length of reservoir = 80 m

BREADTH of reservoir = 60 m

Depth of reservoir = 6.5 m

Volume of reservoir = Length \times Breadth \times DepthLength×Breadth×Depth

Volume of reservoir = 80 \times 60 \times 6.5=31200m^380×60×6.5=31200m

Rate = 15Km per HOUR

So, Amount of water flowing in 1 hour = 15 km = 15000 m

So, Volume of water coming out of cross section in 1 hour = 0.2 \times 0.2 \times 15000 = 6000.2×0.2×15000=600

So, Time taken to empty tank = \frac{\text{Volume of tank }}{\text{Volume of water coming out in 1 hour }}

Volume of water coming out in 1 hour

Volume of tank

Time taken to empty tank = \frac{31200}{600}

600

31200

Time taken to empty tank = 5252

Hence it will take 52 hours to empty tank