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 find the volume of fuel inside a cylindrical tanker, you can use the formula for the volume of a cylinder, which is given by:

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

where:

  • \( V \) is the volume,
  • \( r \) is the radius,
  • \( h \) is the height (or length, in the case of a horizontal cylinder).

For this problem, the radius \( r \) is 4 feet and the length \( h \) is 50 feet.

Plugging in the values:

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

Calculating \( (4)^2 \):

\[ (4)^2 = 16 \]

Now substitute this back into the volume formula:

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

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

\[ 16 \times 50 = 800 \]

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

\[ V = 800\pi \]

So, the answer is \( 800\pi \).