Question

Find the surface area of the cylinder, and round to the nearest whole number.

*Hint:  Don't forget to use your Desmos calculator and STAAR Reference Sheet to help!

Remember to use the  π
 symbol on your Desmos calculator.

(1 point)
Responses

1,099 square centimeters
1,099 square centimeters

628 square centimeters
628 square centimeters

528 square centimeters
528 square centimeters

533.8 square centimeters
the cylinder has a radius of 5 and a height of 15

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.

For your cylinder, you have:
- \( r = 5 \) cm,
- \( h = 15 \) cm.

Now, we can plug in the values:

\[
\text{Surface Area} = 2\pi(5)(15 + 5)
\]
\[
= 2\pi(5)(20)
\]
\[
= 2\pi(100)
\]
\[
= 200\pi
\]

Now we can use the approximation \( \pi \approx 3.14 \):

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

Thus, the surface area of the cylinder, rounded to the nearest whole number, is:

**628 square centimeters**.