Respuesta :

SA=4pir²

given SA=12.56

12.56=4pir²
divide both sides by 4
3.14=pir²
3.14=3.14r²
divide both sides by 3.14
1=r²
sqrt both sides
1=r
the radius is 1 in

Answer:

[tex]r=1 in[/tex]

Step-by-step explanation:

Given: The surface area of a sphere is [tex]12.56 in^2[/tex].

To find: The radius of the sphere.

Solution: It is given that the surface area of a sphere is [tex]12.56 in^2[/tex], thus we have

[tex]S.A=4{\pi}r^2[/tex] where r is the radius of the sphere.

⇒[tex]12.56=4(3.14)(r)[/tex]

⇒[tex]12.56=12.56r[/tex]

⇒[tex]\frac{12.56}{12.56}=r[/tex]

⇒[tex]r=1 in[/tex]

Therefore, the radius of the sphere is 1 inches.