Question

Find the surface area of the cylinder and round to the nearest whole number. Use 3.14 for pi
Radius is 5 and height is 15

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,
- \( \pi \) is approximately 3.14.

Given:
- Radius \( r = 5 \)
- Height \( h = 15 \)

Now, substitute these values into the formula:

1. Calculate the area of the two circular bases:
\[
2\pi r^2 = 2 \times 3.14 \times 5^2 = 2 \times 3.14 \times 25 = 2 \times 3.14 \times 25 = 157
\]

2. Calculate the area of the side (the lateral surface area):
\[
2\pi rh = 2 \times 3.14 \times 5 \times 15 = 2 \times 3.14 \times 75 = 471
\]

3. Now, add the two areas together to get the total surface area:
\[
\text{Surface Area} = 157 + 471 = 628
\]

Thus, the surface area of the cylinder is:

\[
\boxed{628}
\]