Question

The distance around the middle of a sphere (the circumference) equals 37.699 in. what is the surface area of the sphere?

Answer 1

To solve this problem you must apply the proccedure shown below:

1. Clear the radius from the formula for the circumference of a circle and substitute values, as following:

`C=2\pi r\\ r=C/2\pi \\ r=37.699in/2\pi \\ r=5.99in`

2. Substitute the radius calculated into the formula for calculate the surface area of the sphere:

`SA=4\pi r^(2) \\ SA=4\pi(5.99in^(2))\\ SA=450.88in^(2)`

The answer is:
`450.88in^(2)`