Question

Water is flowing at the rate of 15km/hour through a pipe of diameter 14cm into a

cuboidal pond which is 50m long and 44m wide. In what time will the level of water in the

pond rise by 21cm?​

Answer 1

HEY MATE

Let the level of water in the pond rises by 21 cm

in t hours.

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

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

= 231 m3

Volume of water flowing out of the pipe in t hours

231t m3

Volume of water in the cuboidal pond

50 x 44 x (21/100)

= 462 m

Volume of water flowing out of the pipe in t hours =

Volume of water in the cuboidal pond

So, 231 t 462

t =2

thus, the required time is 2 hours

HOPE THIS ANSWER WILL HELP YOU