Question

radius: 7yd length: 8yd

find the surface area of the cylinder. use the approximation 3.14 for pi.

252.77 yards

252.77 square yards

577.76 square yards

329.7 square yards

Answer 1

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

\[
A = 2\pi r(h + r)
\]

where:
- \( A \) is the surface area,
- \( r \) is the radius, and
- \( h \) is the height.

Given:
- Radius \( r = 7 \) yards,
- Height \( h = 8 \) yards,
- Using \( \pi \approx 3.14 \).

Now, plug in the values:

\[
A = 2 \times 3.14 \times 7 \times (8 + 7)
\]

Calculate \( 8 + 7 \):

\[
8 + 7 = 15
\]

Now, continue with the surface area calculation:

\[
A = 2 \times 3.14 \times 7 \times 15
\]

Calculate \( 2 \times 3.14 = 6.28 \):

\[
A = 6.28 \times 7 \times 15
\]

Next, calculate \( 6.28 \times 7 \):

\[
6.28 \times 7 = 43.96
\]

Now, calculate \( 43.96 \times 15 \):

\[
43.96 \times 15 = 659.4
\]

Therefore, the surface area of the cylinder is:

\[
A \approx 659.4 \text{ square yards}
\]

So none of the given options match the calculated surface area as \( 659.4 \) square yards.
Please verify the inputs or if there are any required assumptions.