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
𝜋
54pi
180π
𝜋
180pi
360π
𝜋
360pi
900π
Answer in terms of 𝜋.(2 points)
Responses
54π
𝜋
54pi
180π
𝜋
180pi
360π
𝜋
360pi
900π
Answers
GPT-4o mini
To find the volume of the cylindrical tanker, we 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, and
- \( h \) is the height (or length) of the cylinder.
In this case:
- The radius \( r \) is 5 feet,
- The height \( h \) is 36 feet.
Plugging in these values:
\[ V = \pi (5^2)(36) \]
\[ V = \pi (25)(36) \]
\[ V = \pi (900) \]
Thus, the volume of the fuel inside the tank is:
\[ V = 900\pi \]
Therefore, the answer is **900π**.
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height (or length) of the cylinder.
In this case:
- The radius \( r \) is 5 feet,
- The height \( h \) is 36 feet.
Plugging in these values:
\[ V = \pi (5^2)(36) \]
\[ V = \pi (25)(36) \]
\[ V = \pi (900) \]
Thus, the volume of the fuel inside the tank is:
\[ V = 900\pi \]
Therefore, the answer is **900π**.