Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm of diameter. How much time would it take to fill a conical vessel whose diameter at the surface is 40 cm and depth is 24 cm?
Volume that flows in 1 min = [π × (0.25)^{2} × 1000] cm^{3}
Volume of the conical vessel = 1/3π × (20)^{2} × 24 cm^{3}
Required time = 1/3π × (20)^{2 }× 24/π × (0.25)^{2} × 10000
= 51 min 12 sec.