Find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm. Use the approximation of 3.14 for pi.(1 point).

To find the surface area of a cylinder, you can use the formula:

\[ \text{Surface Area} = 2\pi r(h + r) \]

where:

• \( r \) is the radius,
• \( h \) is the height.

Given:

• \( r = 4 \) cm,
• \( h = 2 \) cm,
• \( \pi \approx 3.14 \).

Now substitute the values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times (2 + 4) \]

Calculating the height plus radius:

\[ h + r = 2 + 4 = 6 \]

Now substitute this back into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times 6 \]

Calculating step by step:

1. \( 2 \times 3.14 = 6.28 \)
2. \( 6.28 \times 4 = 25.12 \)
3. \( 25.12 \times 6 = 150.72 \)

Thus, the surface area of the cylinder is:

\[ \text{Surface Area} \approx 150.72 , \text{cm}^2 \]

So, the surface area of the cylinder is 150.72 cm².