https://file.aiquickdraw.com/mathbot/file/17263382892714kllcqgr.jpg

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

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

Where:
- \( r \) is the radius of the base of the cylinder.
- \( h \) is the height of the cylinder.
- \( \pi \) is a constant (approximately 3.14 or in exact terms).

From the image:
- The radius \( r \) is 4 units.
- The height \( h \) is 3 units.

Now, we can calculate the volume.

1. In terms of \( \pi \):

\[
V = \pi \times (4^2) \times 3 = \pi \times 16 \times 3 = 48\pi \, \text{units}^3
\]

2. If you approximate \( \pi \) as 3.14:

\[
V = 48 \times 3.14 = 150.72 \, \text{units}^3
\]

Thus, the volume of the cylinder is either:
- \( 48\pi \, \text{units}^3 \) (exact answer)
- or \( 150.72 \, \text{units}^3 \) (approximate answer).

Would you like any more details or explanations on this?

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Here are some related questions for further exploration:
1. How does changing the height of a cylinder affect its volume?
2. What happens to the volume if the radius is doubled?
3. How do you find the surface area of a cylinder?
4. How is the formula for the volume of a cylinder derived?
5. How does the volume of a cylinder compare to that of a cone with the same base and height?

**Tip:** When solving for the volume of shapes, always ensure to square the radius first before multiplying by other factors!

Find the volume of the cylinder. Either enter an exact answer in terms of π or use 3.14 for π. (Cylinder with radius = 4 units and height = 3 units)

Learn how to calculate the volume of a cylinder with a radius of 4 units and a height of 3 units. This tutorial explains the formula V = πr²h and includes solutions in both exact terms (48π units³) and approximate terms (150.72 units³). Suitable for students in Grades 6-8.

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