A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere c

Question

3 years ago

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A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere c

ontaining 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

Mathematics

1 answer:

skelet666 [1.2K] · Answer 1 · 2022-02-10T22:42:53+03:00

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