Question
A truck’s cylindrical tanker is filled with fuel. The tank is 36 feet long and has a radius of 5 feet. How much fuel is inside of the tank?
Answer in terms of 𝜋.(2 points)
Responses
54π
54pi
180π
180pi
360π
360pi
900π
900pi
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Answer in terms of 𝜋.(2 points)
Responses
54π
54pi
180π
180pi
360π
360pi
900π
900pi
Skip to navigation
Answers
GPT-4o mini
To find the volume of a cylindrical tanker, you can use the formula for the volume of a cylinder, which is:
\[
V = \pi r^2 h
\]
where:
- \(V\) is the volume,
- \(r\) is the radius,
- \(h\) is the height (length of the cylinder).
In this case:
- The radius \(r\) is 5 feet,
- The height \(h\) is 36 feet.
Now substitute the values into the formula:
\[
V = \pi (5^2)(36)
\]
\[
V = \pi (25)(36)
\]
\[
V = 900\pi
\]
Thus, the volume of the fuel inside the tank is \(900\pi\) cubic feet.
The correct answer is:
**900π**
\[
V = \pi r^2 h
\]
where:
- \(V\) is the volume,
- \(r\) is the radius,
- \(h\) is the height (length of the cylinder).
In this case:
- The radius \(r\) is 5 feet,
- The height \(h\) is 36 feet.
Now substitute the values into the formula:
\[
V = \pi (5^2)(36)
\]
\[
V = \pi (25)(36)
\]
\[
V = 900\pi
\]
Thus, the volume of the fuel inside the tank is \(900\pi\) cubic feet.
The correct answer is:
**900π**