Question

Find the surface area of a cylinder that has a height of 22 cm and a radius of 12 cm. Use 3.14
for π
. Round to the nearest hundredth.(1 point)
_ cm^2

Answer 1

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

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

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

Given:
- Height (\( h \)) = 22 cm
- Radius (\( r \)) = 12 cm
- \( \pi \approx 3.14 \)

Now we can substitute these values into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 12 \times (22 + 12)
\]

First, calculate \( h + r \):

\[
h + r = 22 + 12 = 34
\]

Now substitute this back into the surface area formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 12 \times 34
\]

Now calculate \( 2 \times 3.14 \times 12 \):

\[
2 \times 3.14 = 6.28
\]
\[
6.28 \times 12 = 75.36
\]

Now multiply by 34:

\[
75.36 \times 34 = 2561.24
\]

Thus, the surface area of the cylinder is:

\[
\text{Surface Area} \approx 2561.24 \, \text{cm}^2
\]

Rounding to the nearest hundredth, the surface area is:

\[
\boxed{2561.24 \, \text{cm}^2}
\]