Question

A sphere has a diameter of 40 ft. What is its​ volume?  ​(Find an exact answer in terms of pi​.)

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Part 1
The volume of the sphere is
A.
​33,493.3pi ft cubed
B.StartFraction 32 comma 000 Over 3 EndFraction pi ft cubed
StartFraction 32 comma 000 Over 3 EndFraction
pi ft cubed
C.
​10,666.7pi ft cubed
D.
​85,333.3pi ft cubed

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter of the sphere is 40 ft, the radius is half of that, which is 20 ft.

So, substituting r = 20 into the formula, we get:
V = (4/3)π(20)^3
V = (4/3)π(8000)
V = 10666.7π ft^3

Therefore, the volume of the sphere is 10,666.7π ft^3.
The answer is C. 10,666.7π ft cubed.