a metallic solid of volume 2200 cu cm is melted to form a uniform wire of cross sectional diameter 0.5 cm. Find the length of the wire.
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Answer:
answer is 112 m
Step-by-step explanation:
Solution
Volume of the wire
= (2.2 xx 10 xx 10 xx 10) cm^(3) = 2200 cm^(3)
<br> Radius of the wire
= 0.25 cm = (25)/(100) cm = (1)/(4) cm
<br> Let the length of wire be h cm. Then, <br>
pi xx (1)/(4) xx (1)/(4) xx h = 2200 rArr (22)/(7) xx (1)/(16) xx h = 2200
<br>
:. h = (2200 xx (7)/(22) xx 16) cm = ((11200)/(100)) m = 112 m
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