https://file.aiquickdraw.com/mathbot/file/1726338523352602onkgz.jpg

To find the volume of a sphere, we use the formula:

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

From the image, the diameter of the sphere is 2 units. Therefore, the radius \( r \) is:

\[
r = \frac{2}{2} = 1 \text{ unit}
\]

Now, substituting the radius \( r = 1 \) into the volume formula:

\[
V = \frac{4}{3} \pi (1)^3 = \frac{4}{3} \pi
\]

### Exact Answer:
In terms of \( \pi \), the exact volume is:

\[
V = \frac{4}{3} \pi \text{ cubic units}
\]

### Approximate Answer:
Using \( \pi \approx 3.14 \):

\[
V \approx \frac{4}{3} \times 3.14 = 4.19 \text{ cubic units}
\]

So, the volume of the sphere is approximately **4.19 cubic units**.

Would you like more details on this? Here are some related questions:

1. How is the volume of a sphere related to its radius?
2. What would the volume be if the radius were doubled?
3. How do you calculate the surface area of a sphere?
4. Can the volume formula be used for shapes other than spheres?
5. What is the significance of \( \pi \) in the formula?

**Tip:** When working with spheres, always double-check the radius, as it's easy to confuse it with the diameter!

Find the volume of the sphere with a diameter of 2 units. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Learn how to calculate the volume of a sphere with a diameter of 2 units. This geometry problem explores the formula V = (4/3)πr^3 and provides both an exact answer in terms of π and an approximation using 3.14 for π. Suitable for students in Grades 8-10.

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