Question

PLZZZ HELP TOMORROW IS MY EXAM...water is flowing at the rate of 15 km/hr through a pipe of radius 7cm into a pond which is 50m long and 44m wide. in what time will the level of water rise by 21cm?

Answer 1

length= 50m
breadth = 44m
height = .21 m
volume of the water in pond = volume of pipe * time
50 * 44 * .21 = 22/7 * .7 * .7 * 15 * time
462m³ =  23.1 * time
time = 463/23.1
time= 20 hours

Answer 2

Step-by-step explanation:

Answer:

→ Time = 2 hours .

Step-by-step explanation:

Suppose, the level of water in the pond rises by 21 cm in 'x' hours.

→ Speed of water flowing through a pipe = 15 km/hr .

→ Diameter of the pipe = 14/100 m .

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

∵ Volume of water flowing out of the pipe in 1 hour

= πr²h .

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

= 231 m³ .

→

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

∵ Volume of water in the cuboidal pond = lbh .

= 50 x 44 x (21/100) .

= 462 m³ .

∵ Volume of water flowing out of the pipe in 'x' hours = Volume of water in the cuboidal pond raised by 21 cm .

∵ 231x = 462 .

⇒ x = $\frac{462}{231}$

∴ x = 2 .

Therefore, the required time is 2 hours