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Let's go through the problems step by step.

### Given:
- Radius \( r = 5 \) units
- Height \( h = 10 \) units
- Use \( \pi = 3.14 \)

---

### 1. **Surface Area of a Cylinder**

The surface area \( A \) of a cylinder is given by the formula:

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

This formula represents:
- \( 2\pi r h \): the lateral surface area (side).
- \( 2\pi r^2 \): the area of the two circular bases.

For this problem, the correct formula is:
**Option 3: \( 2 \cdot \pi \cdot r \cdot h + 2 \cdot \pi \cdot r^2 \)**

Now, calculate the surface area:

\[
A = 2 \cdot 3.14 \cdot 5 \cdot 10 + 2 \cdot 3.14 \cdot 5^2
\]
\[
A = 2 \cdot 3.14 \cdot 50 + 2 \cdot 3.14 \cdot 25
\]
\[
A = 314 + 157
\]
\[
A = 471 \, \text{units}^2
\]

So, the surface area of the cylinder is **471 units²**.

---

### 2. **Volume of a Cylinder**

The volume \( V \) of a cylinder is given by the formula:

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

For this problem, the correct formula is:
**Option 3: \( \pi \cdot r^2 \cdot h \)**

Now, calculate the volume:

\[
V = 3.14 \cdot 5^2 \cdot 10
\]
\[
V = 3.14 \cdot 25 \cdot 10
\]
\[
V = 3.14 \cdot 250
\]
\[
V = 785 \, \text{units}^3
\]

So, the volume of the cylinder is **785 units³**.

---

### Summary of Answers:
1. The surface area formula: **\( 2 \pi r h + 2 \pi r^2 \)**
2. Surface area of the cylinder: **471 units²**
3. The volume formula: **\( \pi r^2 h \)**
4. Volume of the cylinder: **785 units³**

---

Do you need further clarification or more details? Here are 5 related questions to deepen your understanding:

1. How does the surface area formula change for an open cylinder (no top)?
2. How is the formula for the lateral surface area derived?
3. What would happen to the volume if the radius is doubled but the height stays the same?
4. How is the volume of a cone related to that of a cylinder?
5. How can you calculate the total surface area if only the height is given?

**Tip**: When working with cylinders, remember that both the lateral surface area and the area of the circular bases contribute to the total surface area.

Select the formula for the surface area and volume of a cylinder. Then, calculate the surface area and volume of the cylinder with radius 5 and height 10, using π = 3.14.

Learn how to calculate the surface area and volume of a cylinder with radius 5 units and height 10 units. This problem demonstrates the use of formulas for surface area (2πrh + 2πr²) and volume (πr²h) for cylinders, with detailed step-by-step calculations.

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