A sphere has a circumference of 28 inUse the circumference to find the surface area of the sphere to the nearest inch. point) A 250i * n ^ 2; B 9852i * n ^ 2; C 154i * n ^ 2; D 6082i * n ^ 2

Answer 1

To find the surface area of a sphere, we can use the formula:

Surface Area = 4πr^2

First, we need to find the radius of the sphere using the circumference. The formula for the circumference of a sphere is:

Circumference = 2πr

Given that the circumference is 28 in, we can set up the equation:

28 = 2πr

Solving for r:

r = 28 / (2π) ≈ 4.451 in

Now, we can calculate the surface area:

Surface Area = 4π(4.451)^2 ≈ 249.64 in^2

Rounded to the nearest inch, the surface area is approximately 250 in^2.

Therefore, the correct answer is A) 250i * n ^ 2.