Question

What is the surface area of this cylinder?
the radius is 1 yd, the height is 3 yd
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 \( r = 1 \) yd,
- Height \( h = 3 \) yd.

Substituting the values into the formula:

\[
\text{Surface Area} = 2\pi(1)(3 + 1) = 2\pi(1)(4) = 8\pi
\]

Now, using \( \pi \approx 3.14 \):

\[
\text{Surface Area} \approx 8 \times 3.14 = 25.12 \text{ yd}^2
\]

Thus, the surface area of the cylinder is approximately **25.12 yd²** when rounded to the nearest hundredth.