Question

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

the answer is wrong

Answer 2

Step 1: You will need to find the radius using the formula: C = 2πr

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

Step 3: The answer is approximately 225,156.45 cubic feet and the unit we would use is cubic feet.

Answer 3

I apologize for the mistake. Let's correct it.

Step 1:
Given the circumference, C = 518.1 feet
Using the formula for circumference of a circle, C = 2πr
518.1 = 2πr
r = 518.1 / (2π)
r ≈ 82.33 feet

Step 2:
Now, we will substitute the radius into the formula for the volume of a sphere, V = (4/3)πr^3

Step 3:
V ≈ (4/3)π(82.33)^3
V ≈ (4/3)π(564,110.54)
V ≈ 751,172.72 cubic feet

Therefore, the approximate volume of the Spaceship Earth at Epcot Center is 751,172.72 cubic feet.