Question

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?

Answer 1

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 2

The answer is 19.20 inches

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 =
`(5)/(24)` 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:

`24 -(24)/(5)`

=
`(120-24)/(5)`

=
`(96)/(5)=19.20` inches.