What is the volume of a cylinder, in cubic in, with a height of 8in and a base diameter of 4in? 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 inches, so the radius $r$ is half of the diameter: $r = \frac{4}{2} = 2 \text{ inches}$

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

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: $V \approx 32 \times 3.14159$

8. Perform the multiplication: $V \approx 100.53056$

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

So, the volume of the cylinder is approximately 100.5 cubic inches.