Question

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 he surface is 40 cm and depth is 24 cm?

Answer 1

Volume that flows in 1 min = [ π x (0.25)² x 1000 ] cm³

Volume of the conical vessel = `1/3`π x (20)² x 24 cm³

Required time = `(1/3π xx (20)^2 xx 24)/(π xx (0.25)^2 xx 1000)`

= 51 min 12 sec.