3) Water is flowing at the rate 15km. per hour through a cylindrical
of diameter 14cm. into a cuboidal pond which is 50cm. long and
wide. In what time the level of water in pond rise by 21 cm?
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3) Water is flowing at the rate 15km. per hour through a cylindrical
of diameter 14cm. into a cuboidal pond which is 50cm. long and
wide. In what time the level of water in pond rise by 21 cm?
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[tex]\huge\sf{Answer}[/tex]
▪Given that:-
▪To find:-
______________________________
Let the level of water in the pond rises by 21 cm
in t hours.
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 m^3
Volume of water flowing out of the pipe in t hours
231t m^3
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
∴ The required time is 2 hours
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