Question
A truck’s cylindrical tanker is filled with fuel. The tank is 50 feet long and has a radius of 4 feet. How much fuel is inside of the tank?
Answer in terms of 𝜋.(1 point)
Responses
54π
54pi
200π
200pi
400π
400pi
800π
Answer in terms of 𝜋.(1 point)
Responses
54π
54pi
200π
200pi
400π
400pi
800π
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.
Given:
- The radius \( r = 4 \) feet
- The height \( h = 50 \) feet
Now, we can substitute these values into the formula:
\[
V = \pi (4)^2 (50)
\]
\[
V = \pi (16)(50)
\]
\[
V = \pi (800)
\]
\[
V = 800\pi
\]
Therefore, the volume of the fuel inside the tank is \( \boxed{800\pi} \).
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height (or length) of the cylinder.
Given:
- The radius \( r = 4 \) feet
- The height \( h = 50 \) feet
Now, we can substitute these values into the formula:
\[
V = \pi (4)^2 (50)
\]
\[
V = \pi (16)(50)
\]
\[
V = \pi (800)
\]
\[
V = 800\pi
\]
Therefore, the volume of the fuel inside the tank is \( \boxed{800\pi} \).