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?
Answer & explanation
Correct answer: option 1
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