a cylindrical pipe has. an inner diameter of 4cm. and water flows through it at a rate of 20m per min. how long will it take to fill the tank of radius 40 cm and depth 72cm?
Answers
Answer:
4.8 minutes
Step-by-step explanation:
Inner diameter of cylindrical pipe = 4 cm
Then,Radius = 2 cm.
Given, Rate of water flow h = 20 per min
= 2000 cm per min.
∴ Volume of water which flows in 1 min = πr²h
= π * (2)² * 2000
= 8000π
(i)
Given, radius of tank = 40 cm.
Depth of tank = 72 cm.
∴ Volume of conical tank = (1/3) * πr²h
= (1/3) * π(40)²(72)
= 38400π
Time required to fill the tank:
= 38400π/8000π
= 24/5
= 4.8 min.
Therefore, time required to fill the tank = 4.8 min.
Hope it helps!
Step-by-step explanation:
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