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What is the exact volume of a sphere with a diameter of 36 in.?
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What is the exact volume of a sphere with a diameter of 36 in.?

User Alexey Guseynov
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1 Answer

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The volume of a sphere:

V=(4)/(3) \pi r^3
r - the radius

The diameter is twice the radius.

d=36 \ in \\ r=(36)/(2) \ in = 18 \ in \\ \\ V=(4)/(3) \pi * 18^3=(4)/(3)\pi * 5832=(23328)/(3) \pi=7776\pi \ [in^3]

The exact volume of the sphere is 7776π in³.
User Rostok
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