Question

Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide.

Answer 1

Speed of water = 15 km/hr

Diameter of the pipe = 14/100 m

Radius of the pipe (r) = 7/100 m

Volume of water flowing out of the pipe in 1 hour

= π r 2 h

= (22/7) x (7/100) x (7/100) x 15000

= 231 m3

Volume of water flowing out of the pipe in t hours = 231 t m3.

Volume of water in the cuboidal pond

= 50 x 44 x (21/100)

= 462 m3 

Answer 2

Given diameter of cylinder = 14 cm Therefore radius of cylinder, r = 7 cm Volume of cylinder = πr2h cubic units Volume of water flowing through the cylindrical pipe in 1 hour at the rate of 15km/hr = (22/7) x (7/100) x (7/100) x 15000 = 231 cu m We know that volume of cuboid = lbh cubic units Therefore volume of water in the tank = 54 x 44 x (21/100) = 462 cu m Time taken = (462/231) = 2 hours