If 198 cubic centimeters of silver is drawn into a wire 1 mm in diameter then what is the length of the wire?

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

252 m

Explanation:

Let the length of the wire be h
r = d/2 = 1/2 mm = 1/20 cm
So, πr^2*h = 198
=> 22/7*(1/20)^2*h = 198
=> h = (198*400*7)/22 = 25200 cm = 252 m