Question

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).

Answer 1

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**.