Question

A cylindrical pipe has inner diameter of 4 cm and water flows through it at the rate of
20 m per minute. How long would it take to fill a conical tank, with diameter of base as
80 cm and depth 72 cm ?

Answer 1

Given : Diameter of base of conical vessel = 80 cm

⇒ radius of base of conical vessel

height of the conical vessel = 72 cm

 

Thus volume of conical vessels

 =  38400 π cm3  ...  (1)

 

Let the conical vessel in filled in x minus than length of water column = 200 x m

⇒ length of cylinder = 2000 x cm

and diameter of pipe = 4 cm



 

∴ Volume of water that flows in x minutes = π × (2 cm)2 × 2000 x cm

 = 8000 π x cm3  ...  (2)

 

equating (1) and (2) we get

38400 π = 8000 π x



 = 4 minutes 48 seconds

 

Hence the conical vessel will be filled in 4 minutes 48 seconds