Question

radius=2yd
height=3yd
find the surface area of the cylinder, use the approximation of 3.14 for pi

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, and
- \( \pi \) is approximately 3.14.

Given:
- \( r = 2 \) yards,
- \( h = 3 \) yards.

Now, plug in the values:

\[
\text{Surface Area} = 2 \times 3.14 \times 2 \times (3 + 2)
\]

First, calculate \( h + r \):

\[
h + r = 3 + 2 = 5
\]

Now, substitute this back into the formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 2 \times 5
\]

Calculate step-by-step:

1. \( 2 \times 2 = 4 \)
2. \( 4 \times 5 = 20 \)
3. \( 20 \times 3.14 = 62.8 \)

Thus, the surface area of the cylinder is:

\[
\text{Surface Area} = 62.8 \text{ square yards}
\]