If 1.1 cm cube of gold is drawn into a wire of 0.1mm in diameter.Find the length of wire in metre.
chandruguna:
Is it 1.1 cm each side CUBE or 1.1 cubic cm?
I consider it has gold cube having 1.1 cm sides and answer
it is cubic cm
Ok thanks. Already I answered considering 1.1 cm side of cube. I will answer again with cubic cm
Answers
Answered by
5
Volume of gold = 1.1 cm³ = 1100 mm³
Volume of wire drawn
Wire is in cylindrical form
Dia of wire [d] = 0.1 mm
Length of the wire [L] = to be determined
πr²h is volume for cylinder. Since we have dia. of wire r=d/2 & h=L
Volume of the wire = πd²L/4
Applying the value = (22/7) x (0.1)² x l /4 = (0.11/14)L
⇒ 0.00785714 l mm³
Volume of wire and cube must be same if there is no losses making wire from that cube.
Hence,
(0.11/14)L = 1100
L = (1100 X 14)/0.11
L = 1,40,000 mm³ (or) 140 cm³
this is not the answer
Based on your input I will show calculation. Sorry for inconvenience.
Corrected based on clarification you gave on my doubt in the question.
Similar questions