The radius of a metallic sphere is 9cm . it was melted to make a wire of diameter 4mm . find the length of the wire ?? plzz help me
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Answer:
243 m
Step-by-step explanation:
The volume of the sphere and the cylinder (wire) will be equal.
Let the height of the cylinder, which is the length of the wire, be x.
Thus,
π × [ ( 4 / 10 ) / 2 ] ^2 × x = ( 4 / 3 ) × π × 9 ^3
(4 / 20 ) ^2 × x = ( 4 / 3 ) × 729
( 1 / 5 ) ^2 × x = 4 × 243
( 1 / 25 ) × x = 972
x = 24300 cm = 243 m
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