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

Answer :

Solution :                                                                                                                                Given Diameter of Cylinder = 7cm                                                                               therefore radius of cylinder = diameter/2 = 7/2 = 3.5cm .                                               One Liter = 1000cm^3 ,                                                                                              therefore 192.5 litre = 192.5 *1000cm^3  = 192500 cm^3
    now in 1minute it collects 192500cm^3 of water so in 1hour it collects                                                    192500*60(1hour=60minutes)
now we have to find out the height ( rate of flow is same as height)
           so volume of cylinder =3.14*r^2*h
           so, 22/7*3.5*3.5*h=192500*60
                         h=300000cm =3km
               so rate of flow =3km per hour

Answer:


Step-by-step explanation:

Diameter of cylindrical pipe = 7 cm


∴ Radius of cylindrical pipe


Volume of water flows in 1 min = 192.5 l


∴ Volume of water flows in 1 hour = 192.5 × 60 × 1000 cm3 ......(1)


Let l be the distance covered by water in 1 hour


Volume of water that covers the diameter of 1 hour = πr2l .....(2)


(1) and (2) ⇒ πr2l = 192.5 × 60 × 1000

multiply the equation you will get the answer 3km



i.e. distance covered by water in 1 hr is 3 km


∴ Rate of flow of water = 3 km/hr