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
𝜋
54pi

180π
𝜋
180pi

360π
𝜋
360pi

900π

1 answer

To find the volume of the cylindrical tanker, we can use the formula for the volume of a cylinder, which is:

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

where:

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

In this case:

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

Plugging in these values:

\[ V = \pi (5^2)(36) \] \[ V = \pi (25)(36) \] \[ V = \pi (900) \]

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

\[ V = 900\pi \]

Therefore, the answer is 900π.