What is the volume, in cubic inches, of a cylinder with a height of 14 inches and a base radius of 8 inches, to the nearest tenths place?

To find the volume of a cylinder, you can 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.

Given:

• Height ($h$) = 14 inches
• Radius ($r$) = 8 inches

Step-by-step calculation:

1. Square the radius: $r^2 = 8^2 = 64$

2. Multiply the squared radius by the height: $64 \times 14 = 896$

3. Multiply the result by $\pi$: $V = \pi \times 896$

Using $\pi \approx 3.14159$:

$V \approx 3.14159 \times 896 \approx 2814.87$

To the nearest tenths place, the volume is:

$V \approx 2814.9$

So, the volume of the cylinder is approximately 2814.9 cubic inches.