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 1

To calculate the volume of the cylindrical tanker filled with fuel, we can use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height (or length) of the cylinder.

Given:
- radius \( r = 4 \) feet,
- height \( h = 50 \) feet.

Substituting the values into the formula:

\[
V = \pi (4^2)(50)
\]

Calculating \( 4^2 \):

\[
4^2 = 16
\]

Now substituting back into the volume formula:

\[
V = \pi (16)(50)
\]

Calculating \( 16 \times 50 \):

\[
16 \times 50 = 800
\]

Thus, the volume \( V \) becomes:

\[
V = 800\pi
\]

So, the amount of fuel inside the tank is:

\[
\boxed{800\pi}
\]