A cylindrical pipe has inner diameter 7cm and water flows through it at 192 5litres per min Find the - Maths - Surface Areas and Volumes

Question

A cylindrical pipe has inner diameter 7cm and water flows
through it at 192 5litres per min Find the rate of flow in
kilometres per hour

Harleen Birdi · Accepted Answer

Diameter of cylindrical pipe = 7 cm âˆ´ Radius of cylindrical pipe $= \frac{7}{2} cm$ Volume of water flows in 1 min = 192 5 l âˆ´ Volume of water flows in 1 hour = 192 5 Ã— 60 Ã— 1000 cm3 (1) Let l be the distance covered by water in 1 hour Volume of water that covers the diameter of 1 hour = Ï€r2l (2) (1) and (2) â‡’ Ï€r2l = 192 5 Ã— 60 Ã— 1000 $\Rightarrow \frac{22}{7} \times (\frac{7}{2})^{2} \times l = 192 5 \times 60 \times 100 \Rightarrow l = \frac{192 5 \times 60 \times 1000 \times 2 \times 2 \times 7}{22 \times 7 \times 7} \Rightarrow l = 300000 c m \Rightarrow l = 3 km (1 k m = 100000 c m)$ i e distance covered by water in 1 hr is 3 km âˆ´ Rate of flow of water = 3 km/hr

A cylindrical pipe has inner diameter 7cm and water flows through it at 192.5litres per min. Find the rate of flow in kilometres per hour.