Questions: What is the surface area of this? Use π ≈ 3.14 and round your answer to the nearest square millimeter.

Solution Steps

The surface area \( A \) of a cylinder is given by the formula: \[ A = 2\pi r (r + h) \] where \( r \) is the radius and \( h \) is the height of the cylinder.

Given:

• Radius \( r = 6 \) mm
• Height \( h = 6 \) mm
• \( \pi \approx 3.14 \)

Substitute these values into the formula: \[ A = 2 \times 3.14 \times 6 \times (6 + 6) \]

First, calculate the sum inside the parentheses: \[ 6 + 6 = 12 \]

Next, multiply the values: \[ 2 \times 3.14 \times 6 \times 12 = 2 \times 3.14 \times 72 \]

Finally, perform the multiplication: \[ 2 \times 3.14 \times 72 = 452.16 \]

Final Answer