The “golf ball” of space mountain at epcot in Orlando, Florida has a diameter of 60 yards. What’s the volume of that sphere? (Use pie= 3.1416

A. 904,780.8 cubic yards
B. 339,292.8 cubic yards
C. 56,548.8 cubic yards
D. 113,097.6 cubic yards

Respuesta :

Answer:

The correct answer is D. 113,097.6 cubic yards.

Step-by-step explanation:

Let's find the volume of the "golf ball" of space mountain at Epcot Center.

The volume of any sphere is 4/3 π * r ³

Replacing for the real values, we have:

Volume of "golf ball" = 4/3 * 3.1416 * 30 ³ (diameter = 60 yards ⇒ radius = 30 yards)

Volume of "golf ball" = 4/3 * 3.1416 * 27,000 (30³ - 27,000)

Volume of "golf ball" = 4 * 3.1416 * 9,000 (Dividing 27,000 by 3)

Volume of "golf ball" = 36,000 * 3.1416

Volume of "golf ball" = 113,097.6 cubic yards.

The correct answer is D. 113,097.6 cubic yards.

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