https://file.aiquickdraw.com/mathbot/file/1729192879395mi9upkl7.jpg

To solve this, we need to calculate the surface area of a cylinder using the formula:

\[
A = 2\pi r^2 + 2\pi rh
\]

Where:
- \(r = 4\) inches (radius)
- \(h = 5\) inches (height)
- \(\pi = 3.14\)

Now, break this into two parts:
1. **The area of the two circular bases**:
   \[
   2\pi r^2 = 2 \times 3.14 \times (4)^2 = 2 \times 3.14 \times 16 = 100.48 \, \text{square inches}
   \]
   
2. **The area of the side (lateral surface area)**:
   \[
   2\pi rh = 2 \times 3.14 \times 4 \times 5 = 2 \times 3.14 \times 20 = 125.6 \, \text{square inches}
   \]

Adding both parts together:
\[
A = 100.48 + 125.6 = 226.08 \, \text{square inches}
\]

Thus, the total surface area is **226.08 in²**.

Would you like any additional details on the calculations or concepts used?

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Here are some related questions you might find interesting:
1. How do you calculate the volume of the same cylinder?
2. How would the surface area change if the height doubled?
3. Can you derive the surface area formula of a cylinder?
4. How is surface area applied in real-world problems?
5. What would be the surface area if only one base is covered?

**Tip:** In calculations involving \(\pi\), it's important to follow the precision required by the problem (like using 3.14 here).

Find the surface area of a cylinder with a base radius of 4 in and a height of 5 in. Use 3.14 for π.

Learn how to calculate the surface area of a cylinder with a radius of 4 inches and a height of 5 inches. Using 3.14 for π, follow a step-by-step breakdown of the geometric formula for surface area. Ideal for students in grades 6-8.

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