Question

radius: 7yd height: 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, you can use the formula:

\[
\text{Surface Area} = 2\pi r^2 + 2\pi rh
\]

where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

In your case, the radius \( r = 7 \) yards and height \( h = 8 \) yards.

Now, let's calculate it step by step.

1. Calculate \( 2\pi r^2 \):
\[
2\pi r^2 = 2 \times 3.14 \times (7^2) = 2 \times 3.14 \times 49
\]
\[
= 2 \times 3.14 \times 49 = 306.76 \text{ square yards}
\]

2. Calculate \( 2\pi rh \):
\[
2\pi rh = 2 \times 3.14 \times 7 \times 8 = 2 \times 3.14 \times 56
\]
\[
= 2 \times 3.14 \times 56 = 353.44 \text{ square yards}
\]

3. Add the two results together:
\[
\text{Surface Area} = 306.76 + 353.44 = 660.2 \text{ square yards}
\]

So, the correct surface area of the cylinder is **660.2 square yards**.

None of the provided options match this calculation. Please check the values again to ensure correctness.