Question

A cylinder with a radius of 5 and a height of 15

Find the surface area of the cylinder, and round to the nearest whole number. Remember to use the pi symbol.

answers

1,099 square centimeters

628 square centimeters

528 square centimeters

533.8 square centimeters

Answer 1

To find the surface area of a cylinder, we use the formula:

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

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

Given:
- \( r = 5 \) cm,
- \( h = 15 \) cm.

Let's calculate the surface area step-by-step.

1. Calculate \( 2\pi r^2 \):
\[
2\pi r^2 = 2\pi (5)^2 = 2\pi (25) = 50\pi
\]

2. Calculate \( 2\pi rh \):
\[
2\pi rh = 2\pi (5)(15) = 2\pi (75) = 150\pi
\]

3. Add both components together:
\[
\text{Surface Area} = 50\pi + 150\pi = 200\pi
\]

Now, we approximate \( \pi \) as 3.14:
\[
200\pi \approx 200 \times 3.14 = 628
\]

Therefore, the surface area of the cylinder is approximately:

\[
\boxed{628} \text{ square centimeters}
\]

So the correct answer is **628 square centimeters**.