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umka2103 [35]
3 years ago
6

The clubhouse has a water tank from which hikers fill their water jugs before walking the trail. The tank is a 5-gallon cylindri

cal 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?
Mathematics
2 answers:
Ghella [55]3 years ago
6 0
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
user100 [1]3 years ago
6 0

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 = \frac{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 -\frac{24}{5}

= \frac{120-24}{5}

= \frac{96}{5}=19.20 inches.

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andreyandreev [35.5K]

Answer:

Sine θ = 5/13

Step-by-step explanation:

From the question given above, the following data were obtained:

Cos θ = 12/13

Sine θ =?

Next, we shall determine the opposite. This can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/13

Adjacent = 12

Hypothenus = 13

Opposite =?

Hypothenus² = Opposite² + Adjacent²

13² = Opposite² + 12²

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Collect like terms

169 – 144 = Opposite²

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Take the square root of both side

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Opposite = 5

Finally, we shall determine the Sine θ. This can be obtained as follow:

Opposite = 5

Hypothenus = 13

Sine θ =.?

Sine θ = Opposite / Hypothenus

Sine θ = 5/13

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