find the height of largest right circular cone that can be cut out of a cube whose volume is 729 cm^{3.}

^{3}

Let

*s*= edge of the cube

$\Rightarrow {s}^{3}=729\phantom{\rule{0ex}{0ex}}\Rightarrow s=9\mathrm{cm}$

Height of the cone = Length of the edge of the cube = 9 cm

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