https://file.aiquickdraw.com/mathbot/file/1726819928690jo3bk3gn.jpg

To calculate the volume of the cylinder shown in the image, we use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius of the circular base,
- \( h \) is the height (or length) of the cylinder,
- \( \pi \) is approximately 3.1416.

From the image:
- The radius \( r \) of the circular base is 6 cm.
- The height (or length) \( h \) of the cylinder is 29 cm.

Now, we can calculate the volume:

\[
V = \pi \times (6)^2 \times 29
\]

Let me calculate that for you.The volume of the cylinder is approximately \( 3279.82 \, \text{cm}^3 \).

Would you like further details or have any questions?

Here are five related questions to expand on this topic:
1. How would the volume change if the radius were doubled?
2. What is the surface area of the same cylinder?
3. How would you calculate the volume if the cylinder were hollow?
4. How do you calculate the volume of a cone with the same radius and height?
5. What happens to the volume if the height is halved but the radius remains the same?

**Tip**: When working with cylinders, always ensure the radius and height are in the same units before calculating volume or surface area.

Calculate the volume of the cylinder with a radius of 6 cm and height (length) of 29 cm.

Learn how to calculate the volume of a cylinder with a radius of 6 cm and height of 29 cm using the formula V = πr²h. This problem covers key geometric concepts and is suitable for students in Grades 8-10.

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