Subjects geometry

Sphere Volume 145Ee0

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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