Question

The circumference of the Spaceship Earth at Epcot Center is 518.1 feet. Determine Spaceship Earth's approximate volume.(5 points)
Step 1: You will need to find the using the formula: C = 2πr


Step 2: You will need to substitute your answer into the formula for a .

Step 3: The answer is approximately and the unit we would use is .

Answer 1

Step 1: r = C/(2π) = 518.1/(2π) ≈ 518.1/6.283185 = 82.48 ft

Step 2: V = (4/3)πr^3 = (4/3)π(82.48)^3 ≈ 2,348,500 cubic feet

(Alternatively V = C^3/(6π^2) gives the same result.)

Step 3: The volume is approximately 2.35 × 10^6 ft^3 (cubic feet).