Question

Water flows at the rate of 5m per minute through a cylindrical pipe, whose diameter is 7 cm. How long will it take to fill the conical vessel having base diameter 21m and depth 12m.

Answer 1

$\it\huge\mathfrak\red{Answer:-}$]

Let the level of water in the pond rises by 21 cm in t hours.

$\it\huge\mathfrak\red{Given:-:-}$]

Speed of water = 15 km/hr

Diameter of the pipe = 14/100 m

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

$\it\huge\mathfrak\red{Solution:-:-}$]

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

$\huge\boxed{\texttt{\fcolorbox{red}{white}{2 Hours}}}$

$<marquee>$]

Thus, the required time is 2 hours.

Answer 2

Hope that this answer will help you ✌️