66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in meters will be-
Created: 2 years ago |
Updated: 1 month ago
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Volume (V) = πr²h
Where:
- V is the volume of the wire (given as 66 cubic centimeters).
- π (pi) is approximately 3.14159.
- r is the radius of the wire.
- h is the length of the wire we want to find.
First, let's find the radius. The diameter of the wire is given as 1 mm, which means the radius (r) is half of that:
r = 1 mm / 2 = 0.5 mm = 0.05 cm (since 1 cm = 10 mm)
Now, plug in the values into the formula:
66 = 3.14159 * (0.05 cm)² * h
Now, solve for h (the length of the wire):
h = 66 / [3.14159 * (0.05 cm)²] h ≈ 84 meters
So, the length of the wire is approximately 84 meters.
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