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

1 answer

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:

\[ \boxed{800\pi} \]