where \( r \) is the radius. Given the diameter is \(6\) micrometers, the radius \( r \) is:
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- A micropaleontologist studies the geometry of fossilized foraminifera, modeled as perfect spheres, to deduce ancient ocean conditions. If the diameter of a fossil is $6$ micrometers, calculate its volume and explain how you determined the volume.
- The volume \( V \) of a sphere is calculated using the formula:
- \[ V = \frac{4}{3} \pi r^3 \]
- \[ r = \frac{6}{2} = 3 \text{ micrometers} \]
- Substitute \( r = 3 \) into the volume formula:
- \[ V = \frac{4}{3} \pi (3)^3 \]
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