Question

A cube of copper of edge 11 cm is melted and formed into a cylindrical wire of diameter 0.5 cm What length of wire will be obtained from the cube?

• A. 67.76 m
• B. 76.67 m
• C. 60 m
• D. 70 m

Answer 1

The correct option is A 67.76 m

Given: Side of cube s=11 cm; diameter d=0.5 cm; r=0.25 cm
Volume of copper cube=${11}^3=1331$= Volume of copper cylinder
or 1331=$\pi r^{2}h$
or 1331=$\frac{22}{7}\times {\left(0.25\right)}^{2}h$
or h=$\frac{1331\times 7}{22\times {\left(0.25\right)}^2}$ $=6776cm=67.76m$