What is the surface area of the sphere?

Question

asked Oct 13, 2018 138k views

1 Answer

Caroline Elisa · Answer 1 · 2018-10-20T02:35:38+0000

Answer:

The surface area of the sphere is 314 mi².

Explanation:

According to the given diagram, the diameter of the sphere is 10 mi.

If the radius is
, then diameter
=2r

So....

$2r=10\\ \\ r=(10)/(2)= 5$

Formula for the surface area of a sphere:
$A_(S)= 4\pi r^2$

Plugging the value of
into this formula, we will get...

$A_(S)=4\pi(5)^2\\ \\ A_(S)=4\pi(25)\\ \\ A_(S)=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_(S)=314$

So, the surface area of the sphere is 314 mi².