Cementing Cost 208F72
1. **Problem statement:** We need to find the cost of cementing the inside walls and base of a cylindrical water tank with an internal radius of 2.5 m and depth 4 m, at a rate of 60 per square meter.
2. **Formula used:** The surface area to be cemented includes the curved surface area and the base area of the cylinder.
- Curved surface area (CSA) = $$2\pi rh$$
- Base area = $$\pi r^2$$
- Total area = CSA + Base area = $$2\pi rh + \pi r^2$$
3. **Substitute values:**
- Radius $$r = 2.5$$ m
- Height $$h = 4$$ m
4. **Calculate curved surface area:**
$$2 \times \pi \times 2.5 \times 4 = 20\pi$$ square meters
5. **Calculate base area:**
$$\pi \times (2.5)^2 = 6.25\pi$$ square meters
6. **Calculate total area:**
$$20\pi + 6.25\pi = 26.25\pi$$ square meters
7. **Approximate total area:**
Using $$\pi \approx 3.1416$$,
$$26.25 \times 3.1416 = 82.466$$ square meters
8. **Calculate cost:**
Cost = Area $$\times$$ rate = $$82.466 \times 60 = 4947.96$$
**Final answer:** The cost of cementing the walls and base is approximately 4948.