Question

Water flows at the rate of 10 m per minute through a cylindrical pipe having its diameter as 5 mm . How much time will it take to fill a conical vessel whose diameter of base is 40 cm and depth 24 cm.

Answer 1

Amount of water required to fill the conical vessel

= volume of conical vessel

= $\frac{1}{3}\pi (20{)}^2\times 24=3200\pi cu.cm$ .... (1)

Ammount of water that flows out of cylindrlcar

pipe in 1 minute = $\pi \times (\frac{5}{20}{)}^2\times 10\times 100$

= 62.5\pi cu.cm .... (2)

From (1) & (2)

Time erqired to fill the vessel = $\frac{3200\pi }{62.5\pi }$

= $51.2minutes.$