Subjects geometry

Sphere Volume Bbe3Ef

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1. **State the problem:** Determine if the volume of a sphere with radius 3 inches is 50 cubic inches using $\pi = 3.14$. 2. **Formula for volume of a sphere:** $$V = \frac{4}{3} \pi r^3$$ where $V$ is volume and $r$ is radius. 3. **Substitute the given radius and $\pi$ value:** $$V = \frac{4}{3} \times 3.14 \times 3^3$$ 4. **Calculate the cube of the radius:** $$3^3 = 27$$ 5. **Calculate the volume:** $$V = \frac{4}{3} \times 3.14 \times 27$$ 6. **Multiply constants:** $$\frac{4}{3} \times 27 = \cancel{\frac{4}{3}} \times \cancel{27} = 36$$ 7. **Final volume:** $$V = 3.14 \times 36 = 113.04$$ cubic inches 8. **Compare with given volume:** The calculated volume $113.04$ cubic inches is not equal to the given $50$ cubic inches. **Answer:** The statement is **False**.