Explanation:
Given that,
8. The radius of a sphere, r = 115 cm
We need to find the surface area of the metal sphere. The formula for the surface area of a sphere is given by :
![A=4\pi r^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/vswf0rvmv0g0zm325egkmtrmnztspiro1a.png)
Put all the values,
![A=4* 3.14 * (115)^2\\\\=166106\ cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/dmvi3ne4sc8jq9smxjiq8qs90y1i9cwsfd.png)
9. Thirty percent of the metal sphere will be covered in a metal that is tinted red.
So, the area of the section that is tinted red is :
![A=30\%\ of\ 166106\\\\=(30)/(100)* 166106\\\\=49831.8\ cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/xafq9ulb5to5uxsnpehr7sdvwrhko2ebt1.png)
Hence, this is the required solution.