From a tap of inner radius 0.5cm water flows out at the rate of 7÷5meter per second calculate the volume in litres of water delivered by the pipe in 30minutes
Answers
The correct question is : From a tap of inner radius 0.5 cm, water flows out at the rate of 7.5 meter per second. Calculate the volume in litres of water delivered by the pipe in 30 minutes.
The volume of water delivered by the pipe in 30 minutes is 1059.75 litres.
• Given that inner radius of a tap (r) = 0.5 cm
Rate of flow of water through the tap = 7.5 m/s = 7.5 × 100 cm/s = 750 cm/s
• The base of a tap is circular in shape.
=> Area of cross-section of the tap = πr²
= 3.14 × (0.5 cm)²
= 0.785 cm²
=> Area of cross-section of the pipe fitted in the tap = 0.785 cm²
• Now, volume of water that flows through the pipe in one second = Area of cross-section of the pipe × Rate of flow of water
=> Volume per second = 0.785 cm² × 750 cm
= 588.75 cm³
• We know that 1 minute = 60 sec
=> 30 min = 30 × 60 sec = 1800 sec
• Volume of water delivered in 1800 sec = Volume delivered in 1 sec × 1800
= 588.75 cm³ × 1800
= 1,059,750 cm³
• Now, 1000 cm³ = 1 l
=> 1 cm³ = 1 / 1000 l
∴ 1,059,750 cm³ = 1,059,750 / 1000 l
= 1059.750 l
• Therefore, the pipe delivers 1059.75 litres of water in 30 mins.