Question

The surface area of a sphere is found using the formula SA = 4πr², where r is the radius. If the surface area of a sphere is 576 square feet, what is the radius, in feet?

A. 6
B. 12
C. 36
D. 144

Answer 1

The radius of the sphere with a surface area of 576 square feet is found to be approximately 6 feet after applying the formula SA = 4πr² and solving for r.

Step-by-step explanation:

To find the radius of a sphere when given the surface area, we use the formula SA = 4πr². The question states that the surface area (SA) is 576 square feet, so we set up the equation 576 = 4πr². To solve for the radius (r), we divide both sides by 4π:

576 / 4π = r²

We then take the square root of both sides to find the radius:

√(576 / 4π) = r

After performing the calculations:

r = √(576 / (4 * 3.1415927))

r ≈ 6 feet

Therefore, the radius of the sphere is 6 feet, which corresponds to option A.