https://file.aiquickdraw.com/mathbot/file/17272001598373fl45vt6.jpg

The shape described is composed of two parts: 

1. **Half-cylinder** at the bottom.
2. **Square-based pyramid** at the top.

### 1. Volume of the Half-Cylinder:
The formula for the volume of a full cylinder is:

\[
V_{\text{cylinder}} = \pi r^2 h
\]

Where:
- \( r \) is the radius of the base,
- \( h \) is the height (length) of the cylinder.

For a half-cylinder, the volume is halved:

\[
V_{\text{half-cylinder}} = \frac{1}{2} \pi r^2 h
\]

From the diagram:
- Radius \( r = 6 \, \text{m} \) (since the diameter is 12 m, and half of that is 6 m),
- Height \( h = 6 \, \text{

The shape below is made from half of a cylinder with a square-based pyramid on top. Work out the volume of the shape. Give your answer to 1 d.p.

This problem involves finding the volume of a composite shape made from half of a cylinder and a square-based pyramid. Key formulas used include the volume of a cylinder and the volume of a pyramid. The given dimensions involve a radius of 6m for the cylinder and heights of 6m and 5m for the cylinder and pyramid, respectively.

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