ANSWER THIS QUESTION
specially for brainly aryabhattas--
Water is flowing at the rate of 15 kilometre per hour through a pipe of diameter 14 cm into a cuboidal pond which is 50m long and 44 metre wide in what time will the level of water in pond rise by 21 CM diameter
ISHITA---
Answers
Answer:
In cylinder,
r=7cm=0.7m
l=15km
=15000m
In tank,
l=50m
b=44m
h=0.21m
Vol.of water in tank=lbh
=50*44*0.21
=462m³
Height of cylindrical pipe=Vol. / πr²
=462/(0.07)²(22/7)
=462/0.0154
=30000m
Time = 30000/15000
= 2 hours
Answer:
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
= 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
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.