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 pl. (1 paint)

345 4 square inches

471 square inches

314 square inches

471 inches

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 and \( h \) is the height.

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

Now substituting these values into the formula:

1. Calculate the area of the two circular bases:
\[
2\pi r^2 = 2 \times 3.14 \times (5^2) = 2 \times 3.14 \times 25 = 157
\]

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

3. Add the areas together:
\[
\text{Surface Area} = 157 + 314 = 471 \text{ square inches}
\]

Therefore, the surface area of the cylinder is \( \boxed{471} \) square inches.