1. Calculate the surface area of a sphere with radius 6 cm. The formula for the surface area of a sphere is $$S = 4\pi r^2$$. Substitute $r = 6$ cm: $$S = 4\pi (6)^2 = 4\pi \times 36 = 144\pi$$ cm$^2$. Using $\pi \approx 3.1416$, the surface area: $$S \approx 144 \times 3.1416 = 452.39$$ cm$^2$. 2. Calculate the curved surface area of a hemispherical bowl with radius 4.5 cm. The curved surface area of a hemisphere is half the surface area of a sphere: $$S = 2\pi r^2$$. Substitute $r = 4.5$ cm: $$S = 2\pi (4.5)^2 = 2\pi \times 20.25 = 40.5\pi$$ cm$^2$. Approximate: $$S \approx 40.5 \times 3.1416 = 127.23$$ cm$^2$. 3. Find the volume of a sphere with diameter 8 m. First, find the radius: $r = \frac{diameter}{2} = \frac{8}{2} = 4$ m. The formula for volume: $$V = \frac{4}{3}\pi r^3$$. Substitute $r = 4$: $$V = \frac{4}{3}\pi (4)^3 = \frac{4}{3}\pi \times 64 = \frac{256}{3}\pi$$ m$^3$. Approximate: $$V \approx \frac{256}{3} \times 3.1416 = 268.08$$ m$^3$. Final answers: - Surface area of sphere: $452.39$ cm$^2$ - Curved surface area of hemisphere: $127.23$ cm$^2$ - Volume of sphere: $268.08$ m$^3$