Step 1 :Given the diameter and radius of different spheres, we are to find their respective surface areas. The surface area of a sphere is given by the formula \(4\pi r^2\), where \(r\) is the radius of the sphere. If the diameter is given, the radius is half of the diameter.
Step 2 :For a sphere with a diameter of 4 meters, the radius is \(\frac{4}{2} = 2\) meters. Substituting this into the formula gives a surface area of \(4\pi (2)^2 = 50.27 \mathrm{~m}^{2}\).
Step 3 :For a sphere with a radius of 4 meters, substituting this into the formula gives a surface area of \(4\pi (4)^2 = 201.06 \mathrm{~m}^{2}\).
Step 4 :For a sphere with a radius of 8.5 meters, substituting this into the formula gives a surface area of \(4\pi (8.5)^2 = 907.92 \mathrm{~m}^{2}\).
Step 5 :For a sphere with a diameter of 8.5 meters, the radius is \(\frac{8.5}{2} = 4.25\) meters. Substituting this into the formula gives a surface area of \(4\pi (4.25)^2 = 226.98 \mathrm{~m}^{2}\).
Step 6 :Final Answer: A sphere with a diameter of 4 meters matches with \(\boxed{50.27 \mathrm{~m}^{2}}\), a sphere with a radius of 4 meters matches with \(\boxed{201.06 \mathrm{~m}^{2}}\), a sphere with a radius of 8.5 meters matches with \(\boxed{907.92 \mathrm{~m}^{2}}\), and a sphere with a diameter of 8.5 meters matches with \(\boxed{226.98 \mathrm{~m}^{2}}\).