Let’s break it down step by step:

Step 1: Convert the diameter from millimeters to centimeters

The diameter of the wire is 1 mm, which is equal to 0.1 cm.

Step 2: Calculate the radius of the wire

The radius of the wire is half of the diameter, so it’s 0.1 cm / 2 = 0.05 cm.

Step 3: Calculate the cross-sectional area of the wire

The cross-sectional area of the wire is πr^2, where r is the radius. So, it’s π(0.05)^2 = approximately 0.0079 cm^2.

Step 4: Calculate the length of the wire

The volume of the wire is equal to the cross-sectional area times the length. We know the volume (66 cm^3) and the cross-sectional area (approximately 0.0079 cm^2), so we can calculate the length:

Length = Volume / Cross-sectional area

= 66 cm^3 / 0.0079 cm^2

= approximately 8353.16 cm

Step 5: Convert the length from centimeters to meters

There are 100 centimeters in 1 meter, so:

Length in meters = 8353.16 cm / 100

= approximately 83.53 m

The final answer is: 83.53