Math Snap

STEP 1

1. The cylinder has a circular base.
2. The diameter of the base is $6$ meters.
3. The height of the cylinder is $14$ meters.
4. Use $\pi \approx 3.14159$ for calculations.

STEP 2

1. Calculate the radius of the base.
2. Recall the formula for the volume of a cylinder.
3. Substitute the given values.
4. Calculate the volume.
5. Round the result to the nearest tenths place.

STEP 3

Calculate the radius of the base:
The radius $r$ is half of the diameter:
$$r = \frac{\text{Diameter}}{2} = \frac{6 \text{ m}}{2} = 3 \text{ m}$$

STEP 4

Recall the formula for the volume of a cylinder:
$$V = \pi r^2 h$$

STEP 5

Substitute the given values into the formula:
$$V = \pi (3 \text{ m})^2 (14 \text{ m})$$

STEP 6

Calculate the volume:
$$V = \pi \times 9 \text{ m}^2 \times 14 \text{ m}$$ $$V = \pi \times 126 \text{ m}^3$$ $$V \approx 3.14159 \times 126 \text{ m}^3$$ $$V \approx 395.84034 \text{ m}^3$$

Round the result to the nearest tenths place:
$$V \approx 395.8 \text{ m}^3$$ The volume of the cylinder is:
$$\boxed{395.8 \text{ m}^3}$$