alex71701 alex71701
  • 18-06-2015
  • Mathematics
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What is the exact volume of a sphere with a diameter of 36 in.?

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naǫ naǫ
  • 01-07-2015
The volume of a sphere:
[tex]V=\frac{4}{3} \pi r^3[/tex]
r - the radius

The diameter is twice the radius.
[tex]d=36 \ in \\ r=\frac{36}{2} \ in = 18 \ in \\ \\ V=\frac{4}{3} \pi \times 18^3=\frac{4}{3}\pi \times 5832=\frac{23328}{3} \pi=7776\pi \ [in^3][/tex]

The exact volume of the sphere is 7776π in³.
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