Subjects geometry

Cylinder Volume Cost 0Ce830

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to find the volume of a concrete cylindrical pillar with diameter 4 meters and height 5 meters, then calculate the total cost of the concrete given the cost per cubic meter is 107. 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 $d = 4$ meters, so radius $r = \frac{d}{2} = \frac{4}{2} = 2$ meters. 4. **Calculate the volume:** $$V = 3.14 \times 2^2 \times 5 = 3.14 \times 4 \times 5 = 3.14 \times 20 = 62.8$$ cubic meters. 5. **Calculate the cost:** Cost per cubic meter = 107 Total cost = volume $\times$ cost per cubic meter $$= 62.8 \times 107 = 6720.6$$ **Final answer:** The concrete cost for the pillar is 6720.6.