High School

2.2 dm³ of copper is to be drawn into a cylindrical wire with a diameter of 0.50 cm. What is the length of the wire?

A. 112 m
B. 112 dm
C. 112 cm
D. 11.2 m

Answer :

To determine the length of a cylindrical wire made from 2.2 dm³ of copper, calculate the volume of the wire using the given diameter and volume of copper, resulting in a length of 112 cm (option C) is the correct answer.

Cylindrical wire: To find the length of the wire, we first calculate the volume of copper in dm³, then use this volume to determine the length of the cylindrical wire.

Given: Volume of copper = 2.2 dm³, Diameter of wire = 0.50 cm

Calculation: Volume of cylindrical wire = Volume of copper, Length of wire = Volume / (π * (diameter/2)²)

Answer: The correct option is (C) 112 cm.