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 can use the formula:

\[
\text{Surface Area} = 2\pi r^2 + 2\pi rh
\]

Where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.

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

Now, let's calculate the surface area step by step.

1. Calculate the area of the two circular bases:

\[
\text{Area of bases} = 2\pi r^2 = 2 \times 3.14 \times (5)^2 = 2 \times 3.14 \times 25 = 157 ft^2
\]

2. Calculate the area of the curved surface:

\[
\text{Curved surface area} = 2\pi rh = 2 \times 3.14 \times 5 \times 8 = 2 \times 3.14 \times 40 = 251.2 ft^2
\]

3. Add the areas together to find the total surface area:

\[
\text{Total Surface Area} = \text{Area of bases} + \text{Curved surface area} = 157 + 251.2 = 408.2 ft^2
\]

Thus, the surface area of the cylinder is:

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