Subjects geometry

Cylinder Volume 497A82

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1. **State the problem:** Find the volume of a cylinder with diameter 6 m and height 3 m. 2. **Formula:** The volume of a cylinder is given by $$V = Bh = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Find the radius:** The diameter is 6 m, so the radius is half of that: $$r = \frac{6}{2} = 3$$ m 4. **Substitute values:** Using $\pi = 3.14$, $r = 3$, and $h = 3$: $$V = 3.14 \times 3^2 \times 3$$ 5. **Calculate:** $$V = 3.14 \times 9 \times 3$$ $$V = 3.14 \times 27$$ $$V = 84.78$$ 6. **Round to nearest tenth:** $$V \approx 84.8$$ m³ **Final answer:** The volume of the cylinder is $84.8$ cubic meters.