Fill in the blanks!

Let's fill in the blanks step by step.

1. The formula for the volume, V, of a sphere is given by \( V = \frac{4}{3} \pi r^{3} \).

2. If the diameter is 6 mm, cut in half, we get 3 mm for r.

Now we can proceed with the volume calculation:

3. \( V = \frac{4}{3} \pi (3)^{3} \)

4. \( V = \frac{4}{3} \pi (27) \)

5. \( V = \frac{4 \times 27}{3} \pi \)

6. \( V = \frac{108}{3} \pi = 36 \pi \)

7. Therefore, \( V = 36 \pi , \text{mm}^{3} \)

Putting it all together, we have:

• The formula for the volume, V, of a sphere is given by \( V = \frac{4}{3} \pi r^{3} \).
• If the diameter is 6 mm, cut in half, we get 3 mm for r.
• The volume is calculated as \( V = 36 \pi , \text{mm}^{3} \).