11 of 1311 of 13 Items

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
800pi
Skip to navigation

1 answer

To find 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, in this case) of the cylinder.

Given:

  • The radius \( r = 4 \) feet,
  • The length \( h = 50 \) feet.

Now, let's substitute the values into the formula:

\[ V = \pi (4^2)(50) \] \[ V = \pi (16)(50) \] \[ V = \pi (800) \]

Thus, the volume of the fuel inside the tank is:

\[ 800\pi \]

The correct answer is 800π.