To calculate the volume of a sphere, we can use the formula:
\[ V = \frac{4}{3} \pi R^3 \]
Where:
- \( V \) is the volume of the sphere.
- \( \pi \) (pi) is a constant approximately equal to 3.14.
- \( R \) is the radius of the sphere.
Given the radius \( R = 4.1 \) mm and using \( \pi = 3.14 \), we can substitute these values into the formula to find the volume:
\[ V = \frac{4}{3} \cdot 3.14 \cdot (4.1)^3 \]
Now, we will calculate the volume step by step.
First, we can calculate \( R^3 \):
\[ R^3 = 4.1^3 = 4.1 \cdot 4.1 \cdot 4.1 = 68.921 \]
Now, we'll multiply this result by \( \pi \):
\[ \pi \cdot R^3 = 3.14 \cdot 68.921 = 216.61134 \]
Finally, we multiply this result by \( \frac{4}{3} \) to find the volume:
\[ V = \frac{4}{3} \cdot 216.61134 = 288.81512 \]
Now, we round the volume to the nearest tenth to get our final answer:
\[ V \approx 288.8 \] mm³ (i.e., cubic millimeters).
Therefore, the volume of the sphere, rounded to the nearest tenth, is approximately 288.8 mm³.
