SOLUTION: a cooper sphere of radius 3 cm is beaten and drawn into wire of diameter 0.2cm te length of the wire in meters is

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Question 883517: a cooper sphere of radius 3 cm is beaten and drawn into wire of diameter 0.2cm te length of the wire in meters is
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of the sphere is equal to the volume of the resulting cylinder.

This will be a solution completely in symbols.

R = radius of the sphere
d = diameter of the wire, the cylinder
h = length of the wire (yes, this is being called, "length". We can choose any variable we want to assign.), UNKNOWN

%284%2F3%29pi%2AR%5E3=h%2Api%28d%2F2%29%5E2, and note, the radius is half of d for the wire.
SOLVE FOR h.

h%2Api%28d%2F2%29%5E2=%284%2F3%29pi%2AR%5E3
h%28d%2F2%29%5E2=%284%2F3%29R%5E3
h%281%2F4%29d%5E2=%284%2F3%29R%5E3
h=4%2A%284%2F3%29%28R%5E3%29%2F%28d%5E2%29
highlight%28h=%284%5E2%2AR%5E3%29%2F%283%2Ad%5E2%29%29

Substitute the values given for R and d from the description to compute the value for h.