The formula for the circumference of a sphere is C = 2πr, where r is the radius of the sphere.
Given the circumference of 40 ft, we can solve for the radius:
40 = 2πr
r = 40 / (2π)
r ≈ 6.37 ft
The surface area of a sphere is given by the formula A = 4πr^2.
Plugging in the radius we found earlier:
A = 4π(6.37)^2
A ≈ 404.8 ft^2
Therefore, the surface area of the sphere is approximately 404.8 square feet.
What is the surface area of a sphere with a circumference of 40 ft? Round the answer to the nearest tenth. (1 point)
1 answer