Question

The surface area of a sphere is 64pi in^2?. What is the diameter of the sphere?

Answer 1

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:

`A\text{ = 4 }\pi r^2`

We are also told that the surface area =

`64\text{ }\pi in^2`

Equation the two

`\begin{gathered} 4\text{ }\pi r^2\text{ = 64 }\pi \\ \text{Divide both sides by 4}\pi \\ (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}`

Diameter is twice the radius

Diameter = 2 x r

Diameter = 2 x 4 in

Diameter = 8 in