1. **State the problem:** Calculate the volume of a cylinder with length (height) $7.2$ cm and radius $2.5$ cm.
2. **Formula:** The volume $V$ of a cylinder is given by the formula:
$$V = \pi r^2 h$$
where $r$ is the radius and $h$ is the height (length).
3. **Substitute the values:**
$$V = \pi \times (2.5)^2 \times 7.2$$
4. **Calculate the square of the radius:**
$$V = \pi \times 6.25 \times 7.2$$
5. **Multiply the radius squared by the height:**
$$V = \pi \times 45$$
6. **Calculate the volume using $\pi \approx 3.1416$:**
$$V \approx 3.1416 \times 45 = 141.372$$
7. **Final answer:**
The volume of the cylinder is approximately $141.37$ cubic centimeters.
Cylinder Volume Ddb9Ad
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.