Subjects geometry

Volume Container B D08B75

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1. **State the problem:** We need to find the volume of Container B, which is a cylinder with diameter 14 feet and height 13 feet. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the radius of Container B:** $$r = \frac{d}{2} = \frac{14}{2} = 7 \text{ feet}$$ 4. **Calculate the volume:** $$V = \pi \times 7^2 \times 13 = \pi \times 49 \times 13$$ 5. **Simplify:** $$V = 637\pi$$ 6. **Approximate using $\pi \approx 3.1416$:** $$V \approx 637 \times 3.1416 = 2000.96 \text{ cubic feet}$$ **Final answer:** The volume of Container B is approximately **2001.0 cubic feet** to the nearest tenth.