Subjects geometry

Tank Volume Edf130

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

Use the AI math solver

Question: 14. You have been asked to work out the volume that tank can hold. Provide your answer in m³ and write down your formula you used. * Show your workings (what did you enter into your calculator) Pi x 0.5²x2 Answer (including unit of measure) 1.5m³ You need to update this answer Assessor's feedback Updated: 23 Oct 2026 correct but please answer to 3 decimal places
1. **State the problem:** Calculate the volume of a tank using the formula given. 2. **Formula used:** 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. **Given values:** Radius $r = 0.5$ m, Height $h = 2$ m. 4. **Substitute values into the formula:** $$V = \pi \times (0.5)^2 \times 2$$ 5. **Calculate the square of the radius:** $$(0.5)^2 = 0.25$$ 6. **Multiply:** $$V = \pi \times 0.25 \times 2$$ 7. **Simplify multiplication:** $$V = \pi \times 0.5$$ 8. **Calculate the volume using $\pi \approx 3.1416$:** $$V = 3.1416 \times 0.5 = 1.5708$$ 9. **Round to 3 decimal places:** $$V \approx 1.571$$ 10. **Final answer:** The volume of the tank is **1.571 m³**.