143.4 cubic centimeters of silver is drawn into a wire 2 mm in diameter. What will be the length of the wire in meters?

Question

A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal parts. Find the total length of the silver wire required.

Answer 1

46 meters

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V = 143.4 cm^3 = 143.4 * 10^3 mm^3 = 143400 mm^3
r = d/2=1 mm
L = V/(pi*r^2) = 143400 / (3.14*1^2) = 45645.64 mm ≈ 46 meters