Question

what is the surface area of this cylinder use pi = 3.14 and round you're answer to the nearest hundredth the radius is 2ft and the height is 8ft square feet?

Answer 1

To calculate the surface area of a cylinder, you can use the formula:

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

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

Given:
- Radius (\( r \)) = 2 ft
- Height (\( h \)) = 8 ft
- \( \pi \) = 3.14

Now, let's calculate each part of the formula.

1. Calculate the area of the two circular bases:
\[
2\pi r^2 = 2 \times 3.14 \times (2)^2 = 2 \times 3.14 \times 4 = 25.12 \text{ square feet}
\]

2. Calculate the area of the side (the lateral surface area):
\[
2\pi rh = 2 \times 3.14 \times 2 \times 8 = 2 \times 3.14 \times 16 = 100.48 \text{ square feet}
\]

3. Now, add both areas together to get the total surface area:
\[
\text{Surface Area} = 25.12 + 100.48 = 125.60 \text{ square feet}
\]

Thus, the surface area of the cylinder is **125.60 square feet**.