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The answer is either in "cu. cm", "sq. cm", or "cm"

To find the volume of the sno-cone, which is composed of a hemisphere on top of an inverted cone, we need to calculate the volume of both shapes separately and then add them together.

### 1. **Volume of the hemisphere**:
The formula for the volume of a hemisphere is:
\[
V_{\text{hemisphere}} = \frac{2}{3} \pi r^3
\]
Where \( r \) is the radius of the hemisphere.

Given:
- \( r = 5 \, \text{cm} \)

### 2. **Volume of the cone**:
The formula for the volume of a cone is:
\[
V_{\text{cone}} = \frac{1}{3} \pi r^2 h
\]
Where:
- \( r \) is the radius (same as for the hemisphere, 5 cm),
- \( h = 9.2 \, \text{cm} \) (height of the cone).

### Now, let’s calculate both volumes and then sum them.

The total volume of the sno-cone is approximately \( 502.7 \, \text{cm}^3 \) (to the nearest tenth).

Do you want more details on how this was calculated, or any further clarifications?

Here are 5 related questions to expand on this topic:
1. How does changing the radius of the sno-cone affect its volume?
2. What would be the volume if the cone height were increased by 50%?
3. How is the formula for the volume of a sphere derived?
4. How would the surface area of this sno-cone be calculated?
5. What is the difference between the volume formulas for a cone and a cylinder?

**Tip**: Always ensure you're using the correct units (e.g., cubic centimeters) when calculating volumes.

A Sno-Cone at the carnival has the shape of a hemisphere on top of an inverted cone. What is the volume of the sno-cone if its radius is 5 cm and the height of the conical portion is 9.2 cm?

Calculate the volume of a sno-cone with a radius of 5 cm and a cone height of 9.2 cm, using geometric formulas for the volume of a hemisphere and cone. Step-by-step solution provided for Grades 8-10.

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