The circumference of the Spaceship Earth at Epcot Center is 518.1 feet. Determine Spaceship Earth's approximate volume.(5 points)

1 answer

To find the volume of Spaceship Earth, we first need to calculate its radius. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

518.1 = 2πr
518.1 / (2π) = r
r ≈ 82.41 feet

Next, we use the formula for the volume of a sphere, V = 4/3πr^3, where V is the volume and r is the radius.

V = (4/3)π(82.41)^3
V ≈ 4/3 * π * 559,708.37
V ≈ 2,359,673.3 cubic feet

Therefore, the approximate volume of Spaceship Earth at Epcot Center is approximately 2,359,673.3 cubic feet.