66cm³ of silver is drawn into a wire 2mm in diameter. Find the length of wire.
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Answer:
answer is 84 m
Step-by-step explanation:
As we know that volume of wire is volume of cylinder
And in given question silver wire is drawn from 66 cubic centimeters of silver.
So, we can equivalent the volume of cylinder with 66 cubic centimeters.
we know that volume of cylinder is π×r
2
×l. [ where l= length and r= radius ]
Given, r=
2
1
mm
i.e. r=0.5 mm
i.e r=0.05 cm
According to question π×r
2
×l=66
i.e.
7
22
×(0.05)
2
×l=66
By solving this question, we get l=8400 cm.
So, length of wire in metres is 84 m.
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