The circumference of a sphere is 38 inches. What is the approximate surface area of the sphere to the nearest square inch?

Answer 1

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

Surface Area = 4πr^2,

where r is the radius of the sphere.

Given that the circumference of the sphere is 38 inches, we can find the radius using the formula for circumference of a sphere:

Circumference = 2πr
38 = 2πr
r = 38 / (2π)
r ≈ 6.045 inches

Now, we can substitute the radius into the formula for surface area:

Surface Area = 4π(6.045)^2
Surface Area ≈ 4π(36.54)
Surface Area ≈ 145.89 square inches

Therefore, the approximate surface area of the sphere is 146 square inches.