How can i compute the height of the ice cube to be put in a conical tank when it turns into a liquid (water). Given with a height of the conical tank and its radius and the volume of the cube.

# How can i compute the height of the ice cube to be put in a conical tank when it turns into a liquid (water).

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If the volume expansion of water to ice is neglected then

$x^3 = \frac{1}{3}A_{\text{water surface}} h_{\text{water}}$

where x = is the height of cube.