Subjects geometry

Water Drum Cost 1E82Ef

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

Use the AI math solver

1. **Problem Statement:** Calculate the cost to fill a cylindrical water drum with radius 0.3 m and height 1 m, given water costs 50 per cubic meter. 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. **Calculate the volume:** $$V = \pi \times (0.3)^2 \times 1 = \pi \times 0.09 = 0.09\pi$$ cubic meters. 4. **Approximate volume:** $$V \approx 0.09 \times 3.1416 = 0.2827$$ cubic meters. 5. **Calculate cost:** Cost = volume $\times$ price per cubic meter $$= 0.2827 \times 50 = 14.135$$ 6. **Final answer:** The cost to fill the drum completely is approximately 14.14.