Question

Find the surface area of the cylinder. Use the approximation 3.14 for pi.(1 point)Responses diameter of 7 height of 8
252.77 yards
252.77 square yards
329.7 square yards
577.76 square yards

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 of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

Given:
- Diameter = 7 yards, therefore the radius \( r = \frac{7}{2} = 3.5 \) yards,
- Height \( h = 8 \) yards.

Now, substituting the values into the formula:

1. Calculate \( h + r \):
\[
h + r = 8 + 3.5 = 11.5 \text{ yards}
\]

2. Now substitute \( r \) and \( h + r \) into the surface area formula:
\[
\text{Surface Area} = 2 \times 3.14 \times 3.5 \times 11.5
\]

3. Calculate \( 2 \times 3.14 = 6.28 \).

4. Then calculate \( 6.28 \times 3.5 = 21.98 \).

5. Finally, calculate \( 21.98 \times 11.5 \):
\[
21.98 \times 11.5 \approx 252.77
\]

Thus, the surface area of the cylinder is approximately:

\[
\text{Surface Area} \approx 252.77 \text{ square yards}
\]

The correct response is **252.77 square yards**.