https://file.aiquickdraw.com/mathbot/file/1726681437954c397677r.jpg

The problem asks to find the volume of a sphere with a diameter of 10 mm, rounding the answer to the nearest hundredth and using \( \pi = 3.14 \).

### Step 1: Formula for the volume of a sphere
The formula for the volume \( V \) of a sphere is:

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

Where:
- \( r \) is the radius of the sphere
- \( \pi = 3.14 \)

### Step 2: Find the radius
The diameter is 10 mm, so the radius \( r \) is half of that:

\[
r = \frac{10}{2} = 5 \text{ mm}
\]

### Step 3: Calculate the volume
Now, substitute \( r = 5 \) mm and \( \pi = 3.14 \) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 5^3
\]

\[
V = \frac{4}{3} \times 3.14 \times 125
\]

\[
V = \frac{4}{3} \times 392.5
\]

\[
V = 523.33 \, \text{mm}^3
\]

### Final Answer:
The volume of the sphere is approximately **523.33 mm³**.

Would you like further details or have any questions?

### Related Questions:
1. What would the volume be if the diameter were 20 mm instead?
2. How does the volume of a sphere change if the radius doubles?
3. Can you derive the formula for the surface area of a sphere?
4. How do you calculate the volume of a hemisphere?
5. What happens to the volume if the diameter is halved?

### Tip:
Always check whether you're given the radius or diameter when working with spheres!

Find the volume of a sphere with a diameter of 10 mm. Round your answer to the nearest hundredth. Use π = 3.14 to find your answer.

Learn how to calculate the volume of a sphere with a diameter of 10 mm using the formula V = (4/3)πr^3. The solution involves geometric concepts and volume calculation, suitable for students in Grades 7-9. Find the step-by-step answer, rounded to the nearest hundredth.

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