First we have to find the volume of the cone so we use the formula:
[tex]V=\frac{\pi r^2h}{3}[/tex]and we replace pi by 3.14, h by 8 and r by 3 so:
[tex]\begin{gathered} V=\frac{3.14\cdot3^2\cdot8}{3} \\ V=\frac{3.14\cdot9\cdot8}{3} \\ V=75.36 \end{gathered}[/tex]now she sloshes 2/3 of the water, so we need to calculate the remaining 1/3 of the volume so:
[tex]\frac{75.36}{3}=25.12[/tex]the remaining volume of water is 25.12 cubic centimeters