Water is flowing at the rate of 15km/hr. Through a cylindrical pipe of radius 7cm into a rectangular tank which is 50m long and 44m wide.In how many hours will the water label in the tank raised by 21cm

change in volume of tank

= (5000)(4400)(21) cm^3
= 462,000,000 cm^3
= 462,000 L

15 km/hr
= 1,500,000 cm/hr
Volume moved
= 1,500,000(49π) cm^3/hr

time to fill 462,000,000
= 462,000,000/1,500,000 hrs
= 308 hrs

check my arithmetic

To find the time it takes for the water level in the tank to rise by 21cm, we need to calculate the volume of water that flows into the tank per hour. Then we can use this volume to find the time required.

First, let's calculate the cross-sectional area of the cylindrical pipe:
Area = π * radius^2
= π * (7cm)^2
≈ 154 cm^2 (rounded to 3 decimal places)

Next, convert the speed of water flow from km/hr to cm/hr:
15 km/hr = 15000 cm/hr

Now, calculate the volume of water flowing into the tank per hour:
Volume per hour = Area * Speed
= 154 cm^2 * 15000 cm/hr
= 2,310,000 cm^3/hr

Since we want to find the time it takes for the water level to rise by 21cm, we need to convert the volume to cubic centimeters to cubic meters:
1 m^3 = 1,000,000 cm^3
Volume per hour = 2,310,000 cm^3/hr / 1,000,000 cm^3/m^3
= 2.31 m^3/hr

Now, we can calculate the time required for the water level to rise by 21cm:
Height = Volume / Area
Time = Height / Volume per hour
= 21 cm / 2.31 m^3/hr
≈ 9.09 hours (rounded to 2 decimal places)

Therefore, it will take approximately 9.09 hours for the water level in the tank to rise by 21cm.