Question

cylindrical pipe has inner diameter of 4 cm and water flows through it at the rate of 20
meter per minute. How long would it take to fill a conical tank of radius 40 cm and depth
72 cm?
[Ans. 4.8 minutes]​

Answer 1

Answer:

hey there your answer is here ⤵

Given : Diameter of base of conical vessel = 80 cm

Given : Diameter of base of conical vessel = 80 cm⇒ radius of base of conical vessel  40cm

height of the conical vessel = 72 cm

height of the conical vessel = 72 cm 

height of the conical vessel = 72 cm Thus volume of conical vessels 72

 =  38400 π cm3  ...  (1)

 =  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 cmand 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 get38400 π = 8000 π x = 4 minutes 48 seconds 

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

Hope it's help you ✌