A sphere has a circumference of 28 in. Use the circumference to find the surface area of the sphere to the nearest inch. (1 point) Responses 6082 in2 6082 in2 154 in2 154 in2 250 in2 250 in2 9852 in2
The formula for the surface area of a sphere is 4πr^2, where r is the radius of the sphere.
First, we need to find the radius of the sphere using the circumference. The formula for the circumference of a sphere is 2πr, so we have:
2πr = 28
r = 28 / (2π) = 14 / π ≈ 4.45 in
Now, we can plug the radius into the formula for the surface area:
4π(4.45)^2 ≈ 4 * 3.14 * 19.80 ≈ 248 in^2
Therefore, the surface area of the sphere is approximately 248 square inches. The closest option is 250 in^2.