Question

A rectangular tank is 9m by 4m water
flows into it throught a pipe whose cross
section is 5cm ×3cm at the rate of
som 10m/s. In who much time will water
is be 1m deep.​

Answer 1

0.66 hours will required to fill water in 1m deep

Step-by-step explanation:

length of the cross section of pipe = 5 cm = 0.05 m

breadth of the cross section of pipe = 3 cm = 0.03 m

area of the cross section = length × breadth

area = 0.05 × 0.03 = 0.0015 cm²

speed of the water = 10 m/s

volume of water flown in 1 s =  10 × 0.0015 = 0.015 m³

length of the rectangular tank = 9 m

breadth of the rectangular tank = 4 m

volume of the water for a depth of 1 m = 9×4×1= 36 m³

time taken to fill the tank to a depth of 1 m =  $\frac{36}{0.015}$ = 2400 seconds = 40 minutes

= 0.66 hours

hence,

0.66 hours will required to fill water in 1m deep

#Learn more:

A rectangular water reservoir measures 8m by 4.5m at the base water flows into it through a pipe whose cross-section is 5cm by 3cm at the rate of 10 meter persecond. Find the height to which the water will rise in the reservoir in 40 minutes

https://brainly.in/question/14108947

Answer 2

Step-by-step explanation:

To fill water in 1m deep

length of the cross section of pipe = 5 cm = 0.05 m

breadth of the cross section of pipe = 3 cm = 0.03 m

area of the cross section = length × breadth

area = 0.05 × 0.03 = 0.0015 cm²

speed of the water = 10 m/s

volume of water flown in 1 s = 10 × 0.0015 = 0.015 m³

length of the rectangular tank = 9 m

breadth of the rectangular tank = 4 m

volume of the water for a depth of 1 m = 9×4×1= 36 m³

time taken to fill the tank to a depth of 1 m = 36/0.015

= 2400 seconds = 40 minutes

= 0.66 hours

hence,

0.66 hours will required to fill water in 1m deep