Which unit of measure would be appropriate for the volume of a sphere with a radius of 2 meters?
Question
Which unit of measure would be appropriate for the volume of a sphere with a radius of 2 meters?
Solution
The appropriate unit of measure for the volume of a sphere with a radius of 2 meters would be cubic meters (m^3).
Here's why:
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The formula for the volume of a sphere is V = 4/3 * π * r^3, where r is the radius of the sphere.
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In this case, the radius is given as 2 meters.
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Substituting the radius into the formula gives V = 4/3 * π * (2 m)^3.
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The cube of the radius (2 m)^3 is 8 m^3.
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Therefore, the volume V = 4/3 * π * 8 m^3 = 33.51 m^3.
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Since the radius was given in meters, the volume is therefore in cubic meters (m^3).
So, the appropriate unit of measure for the volume of this sphere is cubic meters (m^3).
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