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.

__ ft.^2

Answer 1

The surface area \( A \) of a cylinder can be calculated using the formula:

\[
A = 2\pi r(h + r)
\]

where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

Given:
- \( r = 5 \) ft
- \( h = 8 \) ft
- \( \pi \approx 3.14 \)

Now, substituting the values into the formula:

\[
A = 2 \times 3.14 \times 5 \times (8 + 5)
\]

First, calculate \( (8 + 5) \):

\[
8 + 5 = 13
\]

Now, substitute this back into the equation:

\[
A = 2 \times 3.14 \times 5 \times 13
\]

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:

\[
A = 408.2 \text{ ft}^2
\]

Therefore, the surface area is \( \boxed{408.2} \text{ ft}^2 \).