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) square centimeters

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 and \( h \) is the height of the cylinder.

Given:
- Radius (\( r \)) = 4 cm
- Height (\( h \)) = 2 cm
- Approximation for \( \pi \) = 3.14

Now, substituting the values into the formula:

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

First, calculate \( h + r \):

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

Now substitute back into the formula:

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

Calculating this 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:

\[
\text{Surface Area} \approx 150.72 \text{ square centimeters}
\]

So, the answer is **150.72 square centimeters**.