A metallic right circular cone \( 20 \mathrm{~cm} \) high and whose vertical angle is \( 60^{\ci...

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A metallic right circular cone \( 20 \mathrm{~cm} \) high and whose vertical angle is \( 60^{\circ} \) is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter \( \frac{1}{16} \mathrm{~cm} \), find the length of the wire.
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