A truck’s cylindrical tanker is filled with fuel. The tank is 36 feet long and has a radius of 5 feet. How much fuel is inside of the tank? Answer in terms of 𝜋.(2 points) Responses 54π 54pi 180π 180pi 360π 360pi 900π

1 answer

To find the volume of a cylindrical tank, 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.

In this problem:

  • The radius \( r = 5 \) feet,
  • The height \( h = 36 \) feet.

Now we can plug in the values:

\[ V = \pi (5^2)(36) \]

Calculating \( 5^2 \):

\[ 5^2 = 25 \]

Now substituting this back into the volume equation:

\[ V = \pi (25)(36) \]

Calculating \( 25 \times 36 \):

\[ 25 \times 36 = 900 \]

Thus, the volume of the tank is:

\[ V = 900\pi \]

Therefore, the amount of fuel inside the tank is:

\[ \boxed{900\pi} \]