Sphere Volume 145Ee0
1. **Problem Statement:** Find the volume of a sphere with diameter 72 cm.
2. **Formula:** The volume $V$ of a sphere is given by
$$V = \frac{4}{3} \pi r^3$$
where $r$ is the radius of the sphere.
3. **Calculate the radius:** Since the diameter $d = 72$ cm,
$$r = \frac{d}{2} = \frac{72}{2} = 36 \text{ cm}$$
4. **Substitute values:** Using $\pi = 3.14$,
$$V = \frac{4}{3} \times 3.14 \times 36^3$$
5. **Calculate $36^3$:**
$$36^3 = 36 \times 36 \times 36 = 46656$$
6. **Calculate volume:**
$$V = \frac{4}{3} \times 3.14 \times 46656 = 4.1867 \times 46656 \approx 195510.86$$
7. **Final answer:** The volume of the sphere is approximately $195510.86$ cubic centimeters.
**Answer choice:** C 195,510.86 cubic centimeters