The circumference of the Spaceship Earth at Epcot Center is 518.1 feet. Determine Spaceship Earth's approximate volume.n

1 answer

In order to calculate the volume of Spaceship Earth, we need to know its shape. Since Spaceship Earth is a geodesic sphere, we can use the formula for the volume of a sphere.

The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius of the sphere.

First, we need to find the radius of Spaceship Earth. The circumference of a circle is calculated by the formula C = 2π * r. Thus, we can rearrange this formula to solve for r:

518.1 = 2 * π * r
r = 518.1 / (2 * π)
r ≈ 82.4 feet

Now that we have found the radius, we can calculate the volume using the formula for the volume of a sphere:

V = (4/3) * π * 82.4^3
V ≈ (4/3) * π * 564618.432
V ≈ 2358864.44 cubic feet

Therefore, the approximate volume of Spaceship Earth at Epcot Center is 2,358,864.44 cubic feet.