GeminiHeat wrote:
A cylindrical water tank has a diameter of 14 meters and a height of 20 meters. A water truck can fill π cubic meters of the tank every minute. How long in hours and minutes will it take the water truck to fill the water tank from empty to half full?
A. 4 hours and 10 minutes
B. 5 hours and 20 minutes
C. 6 hours and 30 minutes
D. 7 hours and 40 minutes
E. 8 hours and 10 minutes
Volume of cylinder = \(πr^2H\)
Volume to be filled = \(\frac{1}{2}πr^2H = \frac{1}{2}π(7^2)(20) = 490π\)\(ft^3\)
\(π\)\(ft^3\) can be filled in 1 minute
So, time required to fill \(490π\)\(ft^3\) = \(\frac{490π}{π} = 490\) minutes
490 minutes = \(\frac{490}{60} = 8.1667\) hours = 8 hours and 10 minutes
Hence, option E