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 volume of a cylindrical tank, 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 of the cylinder,
• $h$ is the height (or length) of the cylinder.

In this problem:

• The radius $r=5$ feet,
• The height $h=36$ feet.

Now we can plug in the values:

$$V=\pi (5^2)(36)$$

Calculating $5^2$:

$$5^2=25$$

Now substituting this back into the volume equation:

$$V=\pi (25)(36)$$

Calculating $25\times 36$:

$$25\times 36=900$$

Thus, the volume of the tank is:

$$V=900\pi$$

Therefore, the amount of fuel inside the tank is:

$$\boxed{{\displaystyle 900\pi }}$$