Water is flowing at the rate of 8 km/h through a cylindrical pipe of diameter 14 cm into a cuboidal tank of 44 m length and 35 m breath. How long will it take to rise to a level of 10cm?

85 min

The water (measured in cubic cm) is being filled by pipe into the tank -

volume of water supplied by pipe = volume of tank at height 10 cm

⇒ \(\pi \) r²h = 44 × 35 × 10 × 100 × 100

⇒ \(\frac{22}{7}\) × 7 × 7 × h = 44 × 35 × 10³

⇒ h= 10⁴ cm or 10 km

Time = \(\frac{distance}{speed}\) = \(\frac{10}{8}\) = 1.25 h or 85 minutes