What is the volume, in cubic inches, of a cylinder with a height of 14 inches and a base radius of 10 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 ($r$) = 10 inches

Step 1: Square the radius. $r^2 = 10^2 = 100$

Step 2: Multiply the squared radius by the height. $100 \times 14 = 1400$

Step 3: Multiply the result by $\pi$. $V = 1400 \pi$

Step 4: Use the approximate value of $\pi$ (3.14159) to find the volume. $V \approx 1400 \times 3.14159 = 4398.229$

Step 5: Round the result to the nearest tenths place. $V \approx 4398.2$

Therefore, the volume of the cylinder is approximately 4398.2 cubic inches.