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 square inches 471 square inches 471 inches

Answer 1

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

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

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

Given:

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

Plugging in the values:

\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5) \]

Calculating step-by-step:

1. Calculate \( h + r \): \[ 10 + 5 = 15 \]

2. Calculate \( 2 \times 3.14 \times 5 \): \[ 2 \times 3.14 = 6.28 \] \[ 6.28 \times 5 = 31.4 \]

3. Now multiply \( 31.4 \) by \( 15 \): \[ 31.4 \times 15 = 471 \]

Thus, the surface area of the cylinder is:

\[ \text{Surface Area} = 471 \text{ square inches} \]

The correct response is 471 square inches.