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 14 yd and the height is 10 yd

Answer 1

To find 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:
- \( r = 14 \) yd,
- \( h = 10 \) yd,
- \( \pi \approx 3.14 \).

Now, plug in the values:

1. Calculate the area of the two circular bases:
\[
2\pi r^2 = 2 \times 3.14 \times (14)^2
\]
\[
2\pi r^2 = 2 \times 3.14 \times 196 = 1231.68 \text{ yd}^2
\]

2. Calculate the area of the side (the lateral surface area):
\[
2\pi rh = 2 \times 3.14 \times 14 \times 10
\]
\[
2\pi rh = 2 \times 3.14 \times 140 = 878.4 \text{ yd}^2
\]

3. Finally, add both areas together:
\[
\text{Surface Area} = 1231.68 + 878.4 = 2110.08 \text{ yd}^2
\]

Rounding to the nearest hundredth, the surface area of the cylinder is:

\[
\text{Surface Area} \approx 2110.08 \text{ yd}^2
\]