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
900pi
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1 answer

To find the volume of a cylindrical tanker, you 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,
  • \(h\) is the height (length of the cylinder).

In this case:

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

Now substitute the values into the formula:

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

Thus, the volume of the fuel inside the tank is \(900\pi\) cubic feet.

The correct answer is:

900π