Subjects geometry

Cylinder Volume B4963B

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1. **State the problem:** We need to find the volume of a cylinder with radius $r = 5.7$ inches and height $h = 4$ inches. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ where $V$ is the volume, $r$ is the radius, and $h$ is the height. 3. **Substitute the given values:** $$V = 3.14 \times (5.7)^2 \times 4$$ 4. **Calculate the square of the radius:** $$5.7^2 = 32.49$$ 5. **Multiply all values:** $$V = 3.14 \times 32.49 \times 4$$ 6. **Calculate step-by-step:** $$3.14 \times 32.49 = 101.9586$$ $$101.9586 \times 4 = 407.8344$$ 7. **Round the answer to two decimal places:** $$V \approx 407.83$$ **Final answer:** The volume of the cylinder is approximately $407.83$ cubic inches.