contestada

A scientist wants to find the radius, in meters, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 682 square meters. Which equation could he use to find the dome's radius?

Respuesta :

calculista

Answer:

[tex]r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Step-by-step explanation:

we know that

The surface area of a sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

we have

[tex]SA=682\ m^{2}[/tex]

substitute and solve for r

[tex]682=4\pi r^{2}[/tex]

[tex]r^{2}=\frac{682}{4\pi} \\ \\r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Answer:

See below

Step-by-step explanation:

r^2=682 square meters ÷ 4π