Subjects geometry

Cylinder Volume 68A756

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1. **State the problem:** Find the volume of a cylinder with radius $r=2$ ft and height $h=15$ ft, rounding to the nearest tenth. 2. **Formula:** The volume $V$ of a cylinder is given by $$V=\pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Substitute values:** $$V=\pi \times (2)^2 \times 15$$ 4. **Calculate radius squared:** $$V=\pi \times 4 \times 15$$ 5. **Multiply constants:** $$V=\pi \times 60$$ 6. **Approximate using $\pi \approx 3.1416$:** $$V \approx 3.1416 \times 60 = 188.496$$ 7. **Round to nearest tenth:** $$V \approx 188.5$$ **Final answer:** The volume of the cylinder is approximately $188.5$ cubic feet.