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 314 square inches 314 square inches 345.4 square inches 345.4 square inches 471 inches 471 inches 471 square 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,
• \( h \) is the height.

Given:

• \( r = 5 \) inches
• \( h = 10 \) inches
• \( \pi \approx 3.14 \)

Now, plug in the values into the formula:

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

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

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

Thus, the surface area of the cylinder is 471 square inches.