What is the volume of a cylinder, in cubic m, with a height of 8m and a base diameter of 4m? Round to the nearest tenths place.

To find the volume of a cylinder, we use the formula:

$V = \pi r^2 h$

where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder.

1. First, determine the radius of the base. The diameter is given as 4 meters, so the radius $r$ is half of the diameter: $r = \frac{4}{2} = 2 \text{ meters}$

2. The height $h$ is given as 8 meters.

3. Substitute the values of $r$ and $h$ into the volume formula: $V = \pi (2)^2 (8)$

4. Calculate the square of the radius: $(2)^2 = 4$

5. Multiply by the height: $4 \times 8 = 32$

6. Multiply by $\pi$: $V = 32\pi$

7. Use the approximate value of $\pi$ (3.14159) to find the volume: $V \approx 32 \times 3.14159 = 100.53088$

8. Round to the nearest tenths place: $V \approx 100.5$

Therefore, the volume of the cylinder is approximately 100.5 cubic meters.