Solve the following problem using the formula $V = \frac{4}{3} π r^{3}$ where $V$ , the volume of a sphere, depends on $r$ , its radius in centimeters.
Determine the volume (in ${cm}^{3}$ ) if the radius is 0.12 meters.
Note: 1 meter $= 100$ centimeters
Round to two decimal places.

Answer

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Answer

Final Answer: The volume of the sphere with a radius of 0.12 meters is $7238.23$ cubic centimeters.

Steps

Step 1 ：Convert the radius from meters to centimeters: $r = 0.12 m * 100 = 12 c m$

Step 2 ：Substitute the radius into the formula to calculate the volume of the sphere: $V = \frac{4}{3} π (12)^{3} = 7238.23 c m^{3}$

Step 3 ：Round the result to two decimal places: $V = 7238.23 c m^{3}$

Step 4 ：Final Answer: The volume of the sphere with a radius of 0.12 meters is $7238.23$ cubic centimeters.