Water flows at the rate of 10liter per minute through a cylinderical pipe having the diameter as 5mm. How much time will it take to fill a conical vessel whose diameter of the base is 40cm and depth is 24cm?
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Amount of water required to fill the conical vessel
= volume of conical vessel
=
3
1
π(20)
2
×24=3200πcu.cm .... (1)
Ammount of water that flows out of cylindrlcar
pipe in 1 minute = π×(
20
5
)
2
×10×100
= 62.5\pi cu.cm .... (2)
From (1) & (2)
Time erqired to fill the vessel =
62.5π
3200π
= 51.2minutes.
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