Question

Water flows at the rate of 10m per minute through a cylindrical pipe with internal diameter 2cm. How long(in minutes) would it take to fill completely conical vessel whose radius is 50cm and depth 45cm?​

Answer 1

Amount of water required to fill the conical vessel=volume of conical vessel

= 1/3π(20) ^2 ×24=3200πcu.cm .... (1)

Ammount of water that flows out of cylindrlcar

pipe in 1 minute =π×( 5/20)^ 2 ×10×100= 62.5\pi cu.cm .... (2)

From (1) & (2)

Time erqired to fill the vessel = 62.5π/3200π

= 51.2minutes.

hope it helps