Answer:
It will take 11 hours and 47 minutes to fill the cylindrical water tower.
Step-by-step explanation:
Given:
Diameter of cylindrical water tower = 30 m
Radius (r) = [tex]\frac{diameter}{2} = \frac{30}{2}= 15\ m[/tex]
Height of the water Tower (h) = 40 m
Solution:
Now we will calculate the Volume of cylindrical water tower.
Also we know that;
Volume of cylinder is equal to π times square of the radius times height.
framing in equation form we get;
Volume of cylindrical water tower = [tex]\pi r^2h= \pi \times 15^2\times 40 = 28274.33 \ m^3[/tex]
Now given:
4 cubic meters = 1 gallon
So 28274.33 cubic meters = Number of gallons in 28274.33 cubic meters
By Using Unitary method we get;
Number of gallons in 28274.33 cubic meters= [tex]\frac{28274.33}{4}\approx 7069\ gallons[/tex]
Now again Given:
10 gallons of water in the tank are hosed = 1 minute
so 7069 gallons of water in the tank are hosed = Number of minutes required to hose 7069 gallons of water.
Again using Unitary method we get;
Number of minutes required to hose 7069 gallons of water = [tex]\frac{7069}{10}=706.9\ minutes \approx707\ minutes[/tex]
Now we know that;
60 minutes = 1 hour
707 minutes = number of hours in 707 minutes.
Again using Unitary method we get;
number of hours in 707 minutes = [tex]\frac{707}{60}= 11.78 \ hrs[/tex]
Now we can say that;
[tex]0.78hrs = 0.78 \times 60 \approx 47\ minutes[/tex]
Hence It will take 11 hours and 47 minutes to fill the cylindrical water tower.
