Question

Find the radius of a sphere with a surface area of 1024π square inches

Answer 1

Answer:

R = 16 in

Step-by-step explanation:

The formula of a Surface Area of a sphere:

$S.A.=4\pi R^2$

R - radius

We have

$S.A.=1024\pi\ in^2$

Substitute:

$4\pi R^2=1024\pi$               divide both sides by π

$4R^2=1024$             divide both sides by 4

$R^2=256\to R=\sqrt{256}\\\\R=16\ in$