1. **Problem:** Calculate the curved surface area and the total surface area of a cylinder with radius $r=6$ cm and height $h=5$ cm. Round each answer to 1 decimal place. 2. **Recall formulas:** - Curved surface area (CSA) of cylinder = $$2\pi rh$$ - Total surface area (TSA) of cylinder = $$2\pi r(h+r)$$ 3. **Calculate CSA:** $$2\pi rh = 2 \times \pi \times 6 \times 5 = 60\pi$$ Use $\pi \approx 3.1416$ $$60\pi \approx 60 \times 3.1416 = 188.496$$ Rounded to 1 decimal place: $$\boxed{188.5\ \text{cm}^2}$$ 4. **Calculate TSA:** $$2\pi r(h+r) = 2 \times \pi \times 6 \times (5+6) = 2 \times \pi \times 6 \times 11 = 132\pi$$ $$132\pi \approx 132 \times 3.1416 = 414.690$$ Rounded to 1 decimal place: $$\boxed{414.7\ \text{cm}^2}$$