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To find the volume of a hemisphere, we need to use the formula for the volume of a sphere and then divide it by 2, since a hemisphere is half of a sphere.

The formula for the volume of a sphere is:

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

Given that the radius (\(r\)) is 10 meters, let's calculate the volume of the hemisphere:

1. Find the volume of a sphere with \( r = 10 \):
   \[
   V = \frac{4}{3} \pi (10^3)
   \]
   \[
   V = \frac{4}{3} \pi (1000)
   \]
   \[
   V = \frac{4000}{3} \pi
   \]

2. Since we want the volume of a hemisphere, we divide this by 2:
   \[
   \text{Volume of hemisphere} = \frac{1}{2} \times \frac{4000}{3} \pi = \frac{2000}{3} \pi
   \]

3. Using \(\pi \approx 3.14159\):
   \[
   \text{Volume of hemisphere} = \frac{2000}{3} \times 3.14159
   \]
   \[
   \text{Volume of hemisphere} \approx 2094.4 \, \text{m}^3
   \]

So, the volume of the hemisphere is approximately **2094.4 m³** when rounded to 1 decimal place.

Would you like more details on any step? Here are some related questions you might find interesting:

1. What is the volume of a sphere with a different radius, such as 5 m?
2. How would the volume change if the radius were doubled?
3. What is the surface area of a hemisphere with a radius of 10 m?
4. How can we derive the formula for the volume of a sphere?
5. What are some real-life examples where calculating the volume of a hemisphere is useful?

**Tip**: When dealing with \(\pi\) in volume calculations, using a precise value or keeping it in terms of \(\pi\) can help maintain accuracy before rounding.

What is the volume of a hemisphere with a radius of 10 meters? Use the formula for the volume of a sphere and divide it by 2.

Find the volume of a hemisphere with a radius of 10 meters. Learn to use the formula for the volume of a sphere and divide by 2. The answer is approximately 2094.4 cubic meters, suitable for students in Grades 9-10.

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