A piece of gold wire has a diameter of 0.175 cm. How much pricisely 1.00 x 10 to the fifth power of the wire weigh?

Question

anonymous · Answer

@abb0t

abb0t · Answer

You want to find the weight of the wire with a diameter of 0.175 cm? Is that what you're asking?

anonymous · Answer

yes

anonymous · Answer

are you given density? also the length of the wire?

anonymous · Answer

no

anonymous · Answer

its 19.3 g/cm^3 though

anonymous · Answer

ok, and i don't quite understand the second sentence. Could you clarify?

anonymous · Answer

how much does 1.0 x 10^5 cm of the gold wire weigh

anonymous · Answer

oh so that's the length...

ok, so you have the diameter, you have the length so from there you can find the volume

You also have the density, so once you found the volume, multiply it by the density and voila, mass!

anonymous · Answer

so the formula for volume is V=pi(d)(L)?

anonymous · Answer

no

anonymous · Answer

that's the surface area of the wire

anonymous · Answer

volume = cross sectional area * length.

Cross section area = pi * r^2 = pi * (d/2)^2

anonymous · Answer

also i forgot to add that youre supposed to imagine the wire to be a cylinder

anonymous · Answer

yea, i did. Math still doesn't change though

anonymous · Answer

okay

anonymous · Answer

2405.281875 is what i got for volume

anonymous · Answer

yea

anonymous · Answer

what next?

anonymous · Answer

volume x density = mass. So multiply them and that's your answer