Question

Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point) Responses 471 square inches 471 square inches 471 inches 471 inches 314 square inches 314 square inches 345.4 square inches

Answer 1

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

\[
\text{Surface Area} = 2\pi r(h + r)
\]

where \(r\) is the radius and \(h\) is the height of the cylinder.

Given:
- Radius (\(r\)) = 5 inches
- Height (\(h\)) = 10 inches
- \(\pi \approx 3.14\)

Now, we can substitute the values into the formula:

1. Calculate the base area:
\[
2\pi r^2 = 2 \times 3.14 \times (5^2) = 2 \times 3.14 \times 25 = 157 \text{ square inches}
\]

2. Calculate the lateral surface area:
\[
2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 314 \text{ square inches}
\]

3. Now, sum up the areas:
\[
\text{Total Surface Area} = 2\pi r^2 + 2\pi rh = 157 + 314 = 471 \text{ square inches}
\]

Therefore, the surface area of the cylinder is **471 square inches**.