Question

A disco ball is shaped like a sphere with diameter of 60 inches to the nearest square inch what is the surface area of the disco ball

Answer 1

To calculate the surface area of a sphere, you have to use the following formula:

`SA=4\pi r^2`

Where "r" is the radius of the sphere.

We know that the diameter of the sphere is d = 60 inches and that the radius is half the diameter, then the radius can be determined as follows:

`\begin{gathered} r=(d)/(2) \\ r=(60)/(2) \\ r=30in \end{gathered}`

Once the radius is calculated, you can determine the surface area of the sphere:

`\begin{gathered} SA=4\pi(30^2) \\ SA=4\pi\cdot900 \\ SA=3600\pi\approx11309.73in^2 \end{gathered}`

The surface area of the sphere is 3600π in², expressed as a decimal value, the surface area is equal to 11309.73 in²