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To calculate the volume \( V \) of a sphere, we use the formula:

\[
V = \frac{4}{3} \pi R^3
\]

Given:
- Radius \( R = 8.5 \, \text{mm} \)
- \( \pi = 3.14 \)

Now, let's plug the values into the formula:

\[
V = \frac{4}{3} \times 3.14 \times (8.5)^3
\]

First, calculate \( (8.5)^3 \):

\[
8.5^3 = 614.125
\]

Next, multiply by \( 3.14 \):

\[
3.14 \times 614.125 = 1928.3625
\]

Now, multiply by \( \frac{4}{3} \):

\[
V = \frac{4}{3} \times 1928.3625 = 2571.15 \, \text{mm}^3
\]

Rounding to the nearest tenth, the volume is:

\[
V \approx 2571.2 \, \text{mm}^3
\]

Would you like more details or have any questions?

Here are some related questions to expand on this topic:
1. What is the surface area of a sphere with the same radius?
2. How does the volume formula for a sphere relate to the radius?
3. How does the volume change if the radius is doubled?
4. Can you derive the volume formula for a sphere using calculus?
5. How would the volume change if the radius was given in centimeters instead of millimeters?

**Tip**: For accuracy in volume calculations, avoid rounding intermediate results until the final answer!

The radius, R, of a sphere is 8.5 mm. Calculate the sphere's volume, V. Use the value 3.14 for π, and round your answer to the nearest tenth.

Learn how to calculate the volume of a sphere with a radius of 8.5 mm using the formula V = (4/3)πR^3. The solution involves basic geometric principles and is rounded to the nearest tenth. Ideal for students in Grades 9-12.

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