Question

A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 294 square feet. Which equation could he use to find the dome's radius?

A. r2=294 square feet ÷ 4π
B. r2=294 square feet ÷ 2π
C. r2=294 square feet ÷ π
D.r2=588 square feet ÷ 4π

Answer 1

A. r2 = 294 square feet ÷ 4π

Answer 2

The surface area of a sphere by definition is given by:
A = 4 * π * r ^ 2
Where,
r: radius of the sphere.
Substituting the values we have:
294 = 4 * π * r ^ 2
We cleared the radio:
r ^ 2 = (294) / (4 * π)
Answer:
An equation that I could use to find the dome's radius is:
A. r2 = 294 square feet ÷ 4π