242 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

242 cm^3 = 242 * 10^3 mm^3 = 242000 mm^3

Length of the wire = [Volume of Silver / cross-sectional area of the wire] = (242000 / (π*1^2)) = 77,030.992 mm ≈ 77 meters.

Answer 2

We have to calculate the lenght of a cylinder radius= 0,2 cms and volume= 242 cm^3
By solving the equation , V = r^2 x Pi x L, L = 77 meters rounded off numbers