The Solution:
Given:
A sphere of diameter 11.6cm.
We are required to find surface area of the sphere, rounded to the nearest tenth.
The formula for the surface area of a sphere is:
[tex]Surface\text{ area}=4\pi r^2[/tex]
In this case:
[tex]radius=\frac{diameter}{2}=\frac{11.6}{2}=5.8cm[/tex]
So, the surface area is:
[tex]Surface\text{ area}=4\times3.14\times5.8^2=422.518\approx422.5cm^2[/tex]
Therefore, the correct answer is 422.5 square centimeters.
