The surface area of a sphere is defined as the region covered by its outer surface in three-dimensional space.
A Sphere is a three-dimensional solid having a round shape, just like a circle. The formula of total surface area of a sphere in terms of pi (π) is given by:
[tex]A\text{ = 4 }\pi r^2[/tex]We are also told that the surface area =
[tex]64\text{ }\pi in^2[/tex]Equation the two
[tex]\begin{gathered} 4\text{ }\pi r^2\text{ = 64 }\pi \\ \text{Divide both sides by 4}\pi \\ \frac{4\pi r^2}{4\pi}\text{ = }\frac{64\text{ }\pi}{4\pi} \\ r^2\text{ = 16} \\ r\text{ =}\sqrt[]{16} \\ r\text{ = 4 in} \end{gathered}[/tex]Diameter is twice the radius
Diameter = 2 x r
Diameter = 2 x 4 in
Diameter = 8 in
