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

Question

write it in the same way i did with the step by step answers and put the actual answers there not what you want to put and make sure it matches the statements provided.

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

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

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

Respones:
cubic feet
sphere
feet
582,249,550
radius
cylindeer
18,807,030
2,350,878,75
cone
square feet
1036
area
volume

Answer 1

Step 1: You will need to find the radius using the formula: \( C = 2\pi r \).

Step 2: Rearranging the formula, we get \( r = \frac{C}{2\pi} \). Now substitute the circumference value into the equation: \[ r = \frac{518.1}{2\pi} \approx \frac{518.1}{6.2832} \approx 82.6 \text{ feet} \]

Step 3: Next, we will use the radius to calculate the volume of the sphere using the formula for volume \( V = \frac{4}{3}\pi r^3 \). \[ V = \frac{4}{3}\pi(82.6)^3 \approx \frac{4}{3} \pi (564,016.53) \approx 2,364,271.4 \text{ cubic feet} \]

The answer is approximately 2,364,271.4 cubic feet, and the unit we would use is cubic feet.