>A cup is filled to the edge with water with a cube of ice floating inside, eventually, the ice melt, does the water spill out?
Let $V_0i$ be the volume of the ice cube, $V_0im$ the volume of the submerged part of ice, and $V_0l <script type="math/tex"> the volume of that results from the melted cube.<br /> Let <script type="math/tex">\rho$ be the density of water and $\rho_g$ the density of ice.
We can write the transformation: $\rho V_0l = \rho_i V_0i$, according to Archimede's law for a floating body, the push is the same as the moved quantity of liquid which is the same as the weight of the floating body. So: $\rho V_0l g = \rho_i V_0i g$ we simplify "g" and we notice that the terms on the right of both equations are the same, we can write:
$V_0l = V_0im$
So water doesn't spill... did I just disprove climate warning
>Oh no, we got too cocky green broos