Question

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.

Use V = π
r 2
h



(2 points)
Responses

54𝜋 ft3
54 𝜋 ft 3

800𝜋 ft3
800 𝜋 ft3

400𝜋 ft3
400 𝜋 ft 3

250𝜋 ft3
250 𝜋 ft 3
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Answer 1

To find the volume of the cylindrical tanker filled with fuel, 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,
- \( h \) is the height (or length in the case of a horizontal cylinder).

Given:
- Radius \( r = 4 \) feet,
- Height \( h = 50 \) feet.

Now plug in the values:

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

First, calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

Now, substitute back into the volume formula:

\[
V = \pi \cdot 16 \cdot 50
\]

Now, calculate \( 16 \cdot 50 \):

\[
16 \cdot 50 = 800
\]

Therefore, the volume \( V \) is:

\[
V = 800\pi
\]

So, the amount of fuel inside the tank is:

\[
\boxed{800\pi \text{ ft}^3}
\]