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To calculate the volume of a hemisphere with a radius of 2.6 meters, we can use the following formula for the volume of a hemisphere:

\[
V = \frac{2}{3} \pi r^3
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the hemisphere.

### Step-by-Step Calculation

1. Substitute \( r = 2.6 \) meters into the formula:
   \[
   V = \frac{2}{3} \pi (2.6)^3
   \]

2. Calculate \( (2.6)^3 \):
   \[
   (2.6)^3 = 17.576
   \]

3. Multiply by \( \pi \) (using an approximate value of \( \pi \approx 3.14159 \)):
   \[
   V = \frac{2}{3} \times 3.14159 \times 17.576
   \]

4. Continue with the multiplication:
   \[
   V \approx \frac{2}{3} \times 55.2432
   \]

5. Finally, divide by 3 and multiply by 2:
   \[
   V \approx 36.8288
   \]

6. Rounded to the nearest tenth, the volume is:
   \[
   V \approx 36.8 \, \text{m}^3
   \]

### Answer
The volume of the hemisphere is approximately **36.8 cubic meters**.

Would you like further explanation or have any questions?

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Here are five additional questions related to this topic:

1. How would the volume change if the radius were doubled?
2. What is the difference in volume between a full sphere and a hemisphere with the same radius?
3. How would the formula change if we were calculating the volume of a quarter-sphere?
4. What would be the surface area of the same hemisphere?
5. How does the concept of a hemisphere apply to real-world objects?

**Tip:** Remember that the volume formula for a hemisphere is derived from the formula for a sphere by dividing by 2, as a hemisphere is half of a sphere.

What is the volume of a hemisphere with a radius of 2.6 m, rounded to the nearest tenth of a cubic meter?

Learn how to calculate the volume of a hemisphere with a radius of 2.6 meters, using the formula V = (2/3) * π * r^3. Find the volume rounded to the nearest tenth of a cubic meter. Suitable for students in Grades 8-10.

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