Subjects geometry

Cylinder Volume F3Ea21

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1. **State the problem:** We need to find the total volume of steel required to make 192 cylindrical rods, each with diameter 4 cm and height 60 cm. 2. **Formula for volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the radius:** Diameter $= 4$ cm, so radius $r = \frac{4}{2} = 2$ cm. 4. **Calculate the volume of one rod:** $$V = 3.14 \times 2^2 \times 60 = 3.14 \times 4 \times 60$$ $$V = 3.14 \times 240$$ $$V = 753.6 \text{ cm}^3$$ 5. **Calculate the total volume for 192 rods:** $$\text{Total Volume} = 192 \times 753.6$$ $$\text{Total Volume} = 144691.2 \text{ cm}^3$$ **Final answer:** The company will need $144691.2$ cubic centimeters of steel to make 192 rods.