9. Water flows at a rate of 10 m per minute through
a cylindrical pipe having its diameter as 20 mm.
How much time will it take to fill a conical vessel
of base diameter 40 cm and depth 24 cm. (HOTS)
Answers
Answer:
3.2 minutes
Step-by-step explanation:
Amount of water required to fill the conical vessel = volume of conical vessel
=1/3π(20)^2 ×24=3200π cu.cm .... (1)
Amount of water that flows out of cylindrical pipe in 1 minute
=π(1)^2×10×100 =1000π cu.cm....(2)
From (1) & (2)
Time required to fill the vessel=
=3.2 minutes
Answer:
The time taken to fill a conical vessel is 32 min .
Step-by-step explanation:
Given as :
The diameter of cylindrical pipe = d = 20 mm
The radius of cylindrical pipe = r =
r = = 10 mm
Again
The diameter of conical vessel = D = 40 cm
The radius of conical vessel = R =
i.e R = = 20 cm = 200 mm
Height of conical vessel = H = 24 cm = 240 mm
Amount of water required to fill the conical vessel = volume of conical vessel
∵ volume of conical vessel = × π × R² × H
Or, V = × 3.14 × (200 mm)² × (240 mm)
∴ volume of conical vessel = V = 10048000 cubic mm
Or, V = 10048 cubic m .......1
Again
Amount of water that flows out of cylindrical pipe per min = π × r² × h
Or, Amount of water that flows out of cylindrical pipe per min = 3.14 × 0.01² × 10
∴ Amount of water that flows out of cylindrical pipe per min = 0.00314 cubic m ......2
From (1) & (2)
Time required to fill the vessel =
Or, Time = 32 min
So, The time taken to fill a conical vessel = T = 32 min
Hence, The time taken to fill a conical vessel is 32 min . Answer