Question

the radius is 4
the lenght is 7
What is the surface area of this cylinder?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

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.

Given:
- Radius \( r = 4 \)
- Height \( h = 7 \)
- Using \( \pi \approx 3.14 \)

Plugging in the values:

\[
\text{Surface Area} = 2 \times 3.14 \times 4 \times (7 + 4)
\]
\[
= 2 \times 3.14 \times 4 \times 11
\]
\[
= 2 \times 3.14 \times 44
\]
\[
= 2 \times 138.16
\]
\[
= 276.32
\]

So, the surface area of the cylinder is approximately **276.32** square units.