Question

Find the surface area of the cylinder net. The radius of the cylinder is 7 inches and the height is 14 inches. Surface area = 2 pi r square 2 + 2 pi rh. Use pi = 3.14

Answer 1

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

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

where:
- \( r \) is the radius of the cylinder
- \( h \) is the height of the cylinder

Given:
- \( r = 7 \) inches
- \( h = 14 \) inches
- Using \( \pi = 3.14 \)

Now, we can plug in the values into the formula.

1. **Calculate \( 2\pi r^2 \)**:
\[
2\pi r^2 = 2 \times 3.14 \times (7^2)
\]
\[
= 2 \times 3.14 \times 49
\]
\[
= 2 \times 3.14 \times 49 = 307.72 \text{ square inches}
\]

2. **Calculate \( 2\pi rh \)**:
\[
2\pi rh = 2 \times 3.14 \times 7 \times 14
\]
\[
= 2 \times 3.14 \times 98
\]
\[
= 2 \times 3.14 \times 98 = 615.44 \text{ square inches}
\]

3. **Add the two areas together for the total surface area**:
\[
\text{Surface Area} = 307.72 + 615.44 = 923.16 \text{ square inches}
\]

Therefore, the surface area of the cylinder is \( \boxed{923.16} \) square inches.