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 r2 h (2 points) Responses 54𝜋 ft3 54 𝜋 ft 3 800𝜋 ft3 800 𝜋 ft3 400𝜋 ft3 400 𝜋 ft 3 250𝜋 ft3

Answer 1

To find the volume of the cylindrical tanker, we can use the formula:

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

where:

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

Given:

• The radius \( r = 4 \) feet,
• The height \( h = 50 \) feet.

Now we can substitute these values into the formula:

\[ V = \pi (4^2)(50) \] \[ V = \pi (16)(50) \] \[ V = \pi (800) \] \[ V = 800\pi \text{ ft}^3 \]

Thus, the volume of the fuel inside the tank is \( 800\pi \text{ ft}^3 \).

The correct answer is:

800𝜋 ft³