Question

Find the surface area of the cylinder net. The radius of the cylinder is 7 in. and the height is 14 in.

Surface Area = 2πr2+2πrh
Use π = 3.14



(1 point)
Responses

923.16 in2923.16 in squared

1318.8 in21318.8 in squared

659.4 in2659.4 in squared

2461.76 in22461.76 in squared
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Answer 1

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

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

Substituting the values of the radius (\(r = 7\) in) and height (\(h = 14\) in), and using \(\pi \approx 3.14\):

1. Calculate the area of the top and bottom circles:
\[
2\pi r^2 = 2 \times 3.14 \times (7)^2 = 2 \times 3.14 \times 49 = 2 \times 153.86 = 307.72 \text{ in}^2
\]

2. Calculate the lateral surface area:
\[
2\pi rh = 2 \times 3.14 \times 7 \times 14 = 2 \times 3.14 \times 98 = 2 \times 307.72 = 615.44 \text{ in}^2
\]

3. Calculate the total surface area:
\[
\text{Surface Area} = 307.72 + 615.44 = 923.16 \text{ in}^2
\]

Thus, the surface area of the cylinder is:
\[
\boxed{923.16 \text{ in}^2}
\]