https://file.aiquickdraw.com/mathbot/file/1730666587586v5iy5qjz.jpg

To find the volume of a cylinder, we use the formula:

\[
V = A \cdot h
\]

where:
- \( A \) is the area of the base (given as \( 20 \, \text{cm}^2 \)),
- \( h \) is the height of the cylinder (given as \( 9 \, \text{cm} \)).

Substitute the values into the formula:

\[
V = 20 \, \text{cm}^2 \times 9 \, \text{cm} = 180 \, \text{cm}^3
\]

So, the volume of the cylinder is:

\[
\boxed{180 \, \text{cm}^3}
\]

Would you like further details or have any questions?

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### Related Questions:
1. How do you calculate the volume of a cylinder if only the radius and height are given?
2. What would be the volume if the height was doubled to 18 cm?
3. How does changing the radius affect the volume of a cylinder?
4. How can you derive the area of the base if only the radius is given?
5. What are real-life applications of calculating the volume of a cylinder?

### Tip:
Remember, the volume of a cylinder depends linearly on height but quadratically on radius (since area is proportional to the square of the radius).

Figuren viser en skitse af en cylinder. Hvad er rumfanget af cylinderen?

Learn how to calculate the volume of a cylinder with a base area of 20 cm² and a height of 9 cm. This problem involves applying the formula V = A * h to find that the cylinder's volume is 180 cm³. Suitable for students in Grades 6-8.

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