Question

Find the surface area of the cylinder that has a radius of 4 meters and a height of 10 meters.

Use the formula:
Use 3.14 for π
.




(1 point)
The surface area of the cylinder is
square meters.

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 of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately \( 3.14 \).

Given:
- Radius \( r = 4 \) meters,
- Height \( h = 10 \) meters.

Now, plug the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times (10 + 4)
\]

Calculate \( (10 + 4) \):

\[
10 + 4 = 14
\]

Now substitute that back into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times 14
\]

Next, calculate \( 2 \times 3.14 \):

\[
2 \times 3.14 = 6.28
\]

Now proceed with the calculation:

\[
\text{Surface Area} = 6.28 \times 4 \times 14
\]

Calculate \( 4 \times 14 \):

\[
4 \times 14 = 56
\]

Now multiply:

\[
\text{Surface Area} = 6.28 \times 56
\]

Calculate \( 6.28 \times 56 \):

\[
6.28 \times 56 = 351.68
\]

Thus, the surface area of the cylinder is approximately:

\[
\text{Surface Area} \approx 351.68 \text{ square meters}
\]

So, the final answer is:

**The surface area of the cylinder is approximately 351.68 square meters.**