Question

Question
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

Answer 1

To find the amount of fuel inside the cylindrical tanker, we need to calculate the volume of the cylinder using 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 \( r = 5 \) feet
- Height (length) \( h = 36 \) feet

Substituting 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.

Therefore, the answer is:
\[
\boxed{900\pi}
\]