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The clubhouse has a water tank from which hikers fill their water jugs before walking the trail. The tank is a 5-gallon cylindrical container with a height of 2 feet and a radius of 4 inches. Alex fills his 1-gallon jug from the clubhouse tank before going on a hike. If the 5-gallon tank was full, what was the height of the water in the tank after Alex filled the 1-gallon jug?

Respuesta :

scme1702
After Alex fill's the jug, the remaining volume of water will be 4 gallons
1 gallon is equivalent to 231 cubic inches
The volume of a cylinder is given by
V = πr²h
4 x 231 = π x 4² x h
h = 181.4 inches or 15.1 feet

Answer:

The answer is 19.20 inches

Step-by-step explanation:

Given is :

The tank is a 5-gallon cylindrical container with a height of 2 feet and a radius of 4 inches.

The inch measurement along the height of the tank is as 2 feet for 5 gallons, or 2.5 gallons per foot.

So, volume per inch is = [tex]\frac{5}{24}[/tex] gallons per inch.

Now the volume calculation according to the geometric cylinder shape is not necessary.

After the 1 gallon was removed, the water level will be at:

[tex]24 -\frac{24}{5}[/tex]

= [tex]\frac{120-24}{5}[/tex]

= [tex]\frac{96}{5}=19.20[/tex] inches.

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