A cylindrical reservoir is 14 m in diameter Water is poured into it at the rate of 350 L per
minute. Find the rate in cm per hour at which the water level rises in the reservoir.
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Answer:
The water level rises in the reservoir is 13.6 cm/h.
Step-by-step explanation:
Given : A cylindrical reservoir is 14m in diameter. Water is poured into it at the rate of 350 l/m.
To find : The rate in cm/hr at which the water level rises in the reservoir.
Solution :
A cylindrical reservoir is 14m in diameter.
Radius of the cylinder is 7 m.
The area of the cylinder is
A=πr²
A=(22/7)*7*7
A=154 meter square
1m³=1000 l
1 l=1/1000 m³
350 l=350/1000 m³
350 l=0.35 m³
Volume of the cylinder is
V=A × h
0.35=154 × h
0.35=154 × h
h=0.0022 m
1 hour = 60 minute,
h=0.0022*60= 0.136 m/h
1 m=100cm
h=0.136*100=13.6 cm/h
Therefore, The water level rises in the reservoir is 13.6 cm/h.
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