Question

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?

Answer 1

See below

Explanation:

r^2=682 square meters ÷ 4π

Answer 2

`r=\sqrt{(682)/(4\pi)}\ m`

Explanation:

we know that

The surface area of a sphere is equal to

`SA=4\pi r^(2)`

we have

`SA=682\ m^(2)`

substitute and solve for r

`682=4\pi r^(2)`

`r^(2)=(682)/(4\pi) \\ \\r=\sqrt{(682)/(4\pi)}\ m`