Question

Height 15 cm
Radius 5 cm
Find the surface area of the cylinder, and round to the nearest whole number.

1,099 square centimeters

628 square centimeters

528 square centimeters

533.8 square centimeters

Answer 1

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

\[
\text{Surface Area} = 2\pi r(h + r)
\]

where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately \( 3.14 \).

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

Substituting the values into the formula:

\[
\text{Surface Area} = 2 \times \pi \times 5 \times (15 + 5)
\]

Now calculate:

\[
\text{Surface Area} = 2 \times \pi \times 5 \times 20
\]

\[
\text{Surface Area} = 2 \times \pi \times 100
\]

\[
\text{Surface Area} = 200\pi
\]

Using \( \pi \approx 3.14 \):

\[
\text{Surface Area} \approx 200 \times 3.14 = 628 \text{ square centimeters}
\]

Rounding \( 628 \) to the nearest whole number gives:

\[
628
\]

Therefore, the answer is **628 square centimeters**.