Answer: 19.2 inches would be the most reasonable answer, since the first two is too small, and the last answer would be too tall.
if there was 2 feet of water, it would be 24 inches full. taking 1 gallon out, wouldn't make the difference to make it go up or down much.
Answer:
c) 19.2 inches
Step-by-step explanation:
Height of water when full = 2 feet = 24 inches
Radius of cylinder = 4 inches
Volume of tank = 5 gallon
Gallon per inch height of tank = [tex]\frac{5}{24}[/tex]
Inch per gallon of height = [tex]\frac{24}{5}[/tex]
So, when 1 gallon is removed
[tex]24-1\times \frac{24}{5}=\frac{96}{5}=19.2\ inches[/tex]
∴ Height of the water in the tank after Alex filled the 1 gallon jug is 19.2 inches.
Volume of cylinder after 1 gallon was removed
[tex]\pi r^2h=4\times 231\\\Rightarrow h=\frac{4\times 231}{\pi 4^2}\\\Rightarrow h=18.38\ inches[/tex]
∴Height of the water in the tank after Alex filled the 1 gallon jug is 18.38 inches
The different height arises due to the thickness of the rank which is not given.
The first method is more accurate
