Question 80

The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty, we start filling the cistern with water through a pipe whose diameter is 50 cm, water is coming out of the pipe with a velocity of 5 m/s. How many minutes will it take in filling the cistern with water?

Solution

Since Flow rate =  Volume = Area * height

Volume of cylinder = Area of pipe * velocity * time

time = πr^2h/πR^2 * v

t = π* 10^2*15/π (0.25)^2*5

t = 4800 seconds = 80 minutes


Create a FREE account and get:

  • All Quant Formulas and Shortcuts PDF
  • 100+ previous papers with solutions PDF
  • Top 5000+ MBA exam Solved Questions for Free

cracku

Boost your Prep!

Download App