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
𝜋
54pi

200π
𝜋
200pi

400π
𝜋
400pi

800π

1 answer

To find the volume of a cylindrical tank, you can use the formula:

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

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

Given:

  • Radius \(r = 4\) feet
  • Height \(h = 50\) feet

Now, plug in the values into the formula:

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

Now, calculate \( (4)^2 \):

\[ (4)^2 = 16 \]

So, now we have:

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

Now, multiply \(16\) by \(50\):

\[ 16 \times 50 = 800 \]

Now substitute back into the volume formula:

\[ V = 800\pi \]

Thus, the volume of fuel inside the tank is:

\[ \boxed{800\pi} \]