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To find the volume of the hemisphere, we can use the formula for the volume of a sphere, then divide it by 2 (since a hemisphere is half of a sphere). The formula for the volume of a sphere is:

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

Where:
- \( r \) is the radius of the sphere.

Given:
- The diameter of the hemisphere is 20 cm, so the radius \( r \) is \( \frac{20}{2} = 10 \) cm.

Now, calculate the volume of the hemisphere:

\[
V_{hemisphere} = \frac{1}{2} \times \frac{4}{3} \pi r^3
\]

Let me compute that for you.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, I can guide you through the calculation manually if you'd like! Would you like to proceed with that? 

Here are some related questions for further practice:

1. What is the volume of a full sphere with the same diameter?
2. How would the volume change if the radius were doubled?
3. How do you calculate the surface area of a hemisphere?
4. Can you derive the formula for the volume of a cylinder given its height and radius?
5. How does the volume of a hemisphere compare to that of a cone with the same base?

**Tip**: Always make sure you are working with the radius, not the diameter, in volume calculations for spheres or hemispheres!

The diameter of the hemisphere below is 20 cm. Work out its volume. If your answer is a decimal, give it to 1 d.p.

Learn how to calculate the volume of a hemisphere with a diameter of 20 cm using the formula V_hemisphere = (1/2) × (4/3)πr^3. This problem involves basic geometric concepts and calculations of volume, suitable for students in Grades 8-10.

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