Solve the following problem using the formula $V=\frac{4}{3} \pi r^{3}$ where $V$, the volume of a sphere, depends on $r$, its radius in centimeters.
Determine the volume (in $\mathrm{cm}^{3}$ ) if the radius is 0.12 meters.
Note: 1 meter $=100$ centimeters
Round to two decimal places.
Answer
Final Answer: The volume of the sphere with a radius of 0.12 meters is \(\boxed{7238.23}\) cubic centimeters.
Step 1 ：Convert the radius from meters to centimeters: \(r = 0.12 m * 100 = 12 cm\)
Step 2 ：Substitute the radius into the formula to calculate the volume of the sphere: \(V = \frac{4}{3} \pi (12)^{3} = 7238.23 cm^{3}\)
Step 3 ：Round the result to two decimal places: \(V = 7238.23 cm^{3}\)
Step 4 ：Final Answer: The volume of the sphere with a radius of 0.12 meters is \(\boxed{7238.23}\) cubic centimeters.
