A right circular cone is \( 5.4 \mathrm{~cm} \) high and radius of its base is \( 2 \mathrm{~cm}...

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A right circular cone is \( 5.4 \mathrm{~cm} \) high and radius of its base is \( 2 \mathrm{~cm} \). It is melted and recast into another right circular cone with radius of base as \( 1.5 \mathrm{~cm} \). Find the height of the new cone formed.
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