https://r2.erweima.ai/mathbot/image/1723123687355q49z8vr7.jpg

To calculate the volume (isi padu) of the given solid in the image, we need to identify the shape and apply the appropriate volume formula. Let's analyze the image:

### Observations:
1. The figure appears to be composed of a pyramid on top and a hemisphere at the bottom.
2. **Pyramid Dimensions:**
   - The height is given as 20 cm.
   - The slant heights are 30 cm and 29 cm.
   - The base of the pyramid is likely a triangle, but since the drawing is not very clear, I will assume a general triangular pyramid structure.
   
3. **Hemisphere Dimensions:**
   - The radius is given as 21 cm (from the 21 cm length).

### Step-by-Step Solution:

1. **Volume of the Pyramid:**
   The volume \( V_p \) of a pyramid is given by:
   \[
   V_p = \frac{1}{3} \times \text{Base Area} \times \text{Height}
   \]
   The base area is not directly given, but let's assume the base is the triangular base formed by the dimensions provided in the diagram. However, without knowing the exact base area, we cannot compute this directly. It might be necessary to break down the area calculation using triangle area methods if more data were provided or assumed.

2. **Volume of the Hemisphere:**
   The volume \( V_h \) of a hemisphere is given by:
   \[
   V_h = \frac{2}{3} \pi r^3
   \]
   Substituting \( r = 21 \) cm:
   \[
   V_h = \frac{2}{3} \pi (21)^3
   \]
   Calculating the exact value:
   \[
   V_h = \frac{2}{3} \times \pi \times 9261 \approx 19404.4 \text{ cm}^3
   \]

### Final Calculation:
To find the total volume, you would sum the volumes of the pyramid and the hemisphere. However, we lack the base area of the pyramid, so let's assume it is provided or focus solely on the hemisphere part.

Would you like more details or have specific questions? I can also provide related problems or delve into assumptions for the pyramid's base area.

Here are eight follow-up questions related to the solution:

1. How do you calculate the area of a triangle given the sides?
2. What is the formula for the volume of a pyramid with a rectangular base?
3. How would the volume change if the radius of the hemisphere were doubled?
4. How does the height of a pyramid affect its volume?
5. What is the significance of using \( \pi \) in volume calculations for spheres and hemispheres?
6. How can you verify if a given solid is a composite of multiple standard shapes?
7. How does the slant height influence the calculation of the pyramid’s surface area?
8. What are the steps to compute the surface area of the composite solid in the image?

**Tip:** Always ensure to break down composite shapes into simpler geometric figures for easier calculations.

Learn how to calculate the volume of a composite solid consisting of a pyramid and a hemisphere using specific dimensions and formulas. This problem covers geometric volume calculations for complex shapes. Suitable for high school students.

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