答案:C
解析:
Choice C is correct. The equation for the volume of a cylinder is V=πr^2h, where V is the volume, r is the base radius, and h is the height. In this problem, the height is the length of the wire.
The radius of the wire is half the diameter, so r=0.01/2=0.005 meters. This must be converted to centimeters, by mulyiplying 0.005 by 100 to get 0.5 centimeters.
The length of the wire, h, is 31.42 meters. This must be converted to centimeters by multiplying 31.42 by 100 to get 3142 centimeters.
To find the volume, substitute these values in and simplify
V=π(0.5)^2(3142)=2468
The correct answer is 2468 cubic centimeters.