1. **State the problem:** Calculate the surface area of a gas tank composed of a cylinder with two hemispheres on each end.
2. **Given data:** Diameter of cylinder and hemispheres = 45 cm, so radius $r = \frac{45}{2} = 22.5$ cm.
3. **Total length of gas tank:** 79 cm.
4. **Find the length of the cylindrical part:** The gas tank length includes two hemispheres, which together form a full sphere of diameter 45 cm.
Length of two hemispheres = diameter = 45 cm.
Length of cylinder = total length - length of two hemispheres = $79 - 45 = 34$ cm.
5. **Surface area formulas:**
- Surface area of a sphere: $4\pi r^2$
- Surface area of a cylinder (excluding ends): $2\pi r h$
6. **Calculate surface area of the two hemispheres:** Two hemispheres make one full sphere, so surface area = $4\pi r^2$
7. **Calculate surface area of the cylindrical part:** $2\pi r h = 2\pi \times 22.5 \times 34$
8. **Calculate values:**
- Sphere surface area = $4\pi (22.5)^2 = 4\pi \times 506.25 = 2025\pi$
- Cylinder surface area = $2\pi \times 22.5 \times 34 = 1530\pi$
9. **Total surface area:**
$$
2025\pi + 1530\pi = (2025 + 1530)\pi = 3555\pi
$$
10. **Numerical value:**
$$
3555 \times 3.1416 \approx 11166.4 \text{ cm}^2
$$
11. **Final answer rounded to 1 decimal place:**
Surface area $\approx 11166.4$ cm$^2$
Gas Tank Surface Area A20536
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