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To solve the problem of finding the approximate surface area of the cylinder, we need to apply the formula for the surface area of a cylinder:

\[
\text{Surface Area} = 2\pi r^2 + 2\pi rh
\]

Where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximated as \( 3.14 \).

From the image:
- \( r = 8 \, \text{cm} \),
- \( h = 4 \, \text{cm} \).

Let's break it down step by step:

1. **Calculate the area of the two circular bases**:
\[
2\pi r^2 = 2 \times 3.14 \times (8)^2
\]

2. **Calculate the lateral surface area**:
\[
2\pi rh = 2 \times 3.14 \times 8 \times 4
\]

I'll compute this now.The approximate surface area of the cylinder is **602.88 cm²**, which corresponds to option **A**.

Would you like more details or have any other questions?

Here are 5 related questions to deepen your understanding:
1. How would the surface area change if the radius were doubled?
2. What would be the surface area if the height were increased to 6 cm?
3. Can you derive the formula for the surface area of a cylinder from basic principles?
4. How does the surface area compare between different 3D shapes like spheres or cones?
5. What is the relation between the surface area and the volume of a cylinder?

**Tip**: In geometry problems involving circles or cylinders, using a more precise value for \(\pi\) (such as 3.1416) can improve the accuracy of your results.

A cylinder has a radius of 8 cm and a height of 4 cm. Use 3.14 for π. What is the approximate value of the surface area of the cylinder?

Learn how to find the surface area of a cylinder with a radius of 8 cm and a height of 4 cm using the formula 2πr² + 2πrh. This step-by-step guide helps students in Grades 7-9 solve this geometry problem.

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