Question

Find the surface area of a cylinder with a base radius length of 5 ft. and a height of 8 ft. Use π=3.14 .(1 point) ft.2

Answer 1

To find the surface area of a cylinder, we 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 \( r = 5 \) ft
- Height \( h = 8 \) ft
- \( \pi \approx 3.14 \)

Now, substitute the values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times (8 + 5)
\]

First, calculate \( h + r \):

\[
h + r = 8 + 5 = 13
\]

Next, substitute this into the surface area formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 5 \times 13
\]

Now, calculate \( 2 \times 3.14 \times 5 \):

\[
2 \times 3.14 = 6.28
\]
\[
6.28 \times 5 = 31.4
\]

Now multiply by 13:

\[
31.4 \times 13 = 408.2
\]

Thus, the surface area of the cylinder is:

\[
\text{Surface Area} \approx 408.2 \text{ ft}^2
\]

So the final answer is:

\[
\boxed{408.2} \text{ ft}^2
\]