4. A vase with an internal diameter of $24 \mathrm{~cm}$ is filled with water. The water level is $5 \mathrm{~cm}$ from the top edge of the vase. Kaja wants to submerge a rectangular prism with a length of $16 \mathrm{~cm}$, a width of $12 \mathrm{~cm}$, and a height of $12 \mathrm{~cm}$ in the water without any water spilling out of the vase. Can she do this? Justify your answer.
4. The volume of the cuboid is $V_{k}=16 \cdot 12 \cdot 12=2304 \mathrm{~cm}^{3}$. If the cuboid were submerged in water, the water level would rise by $v$ and it would hold that $V_{k}=\pi r^{2} v$, from which we can calculate $v \doteq 5.09 \mathrm{~cm}$. Since the water level in the cylindrical tank is only $5 \mathrm{~cm}$ below the top edge, some water would overflow.

Calculation of the volume of the cuboid $2304 \mathrm{~cm}^{3}$. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 point

![](https://cdn.mathpix.com/cropped/2024_06_07_cd02ddf507985fa73630g-10.jpg?height=51&width=1636&top_left_y=1291&top_left_x=210)

![](https://cdn.mathpix.com/cropped/2024_06_07_cd02ddf507985fa73630g-10.jpg?height=48&width=1639&top_left_y=1341&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_cd02ddf507985fa73630g-10.jpg?height=51&width=1642&top_left_y=1391&top_left_x=207)

![](https://cdn.mathpix.com/cropped/2024_06_07_cd02ddf507985fa73630g-10.jpg?height=48&width=1639&top_left_y=1438&top_left_x=206)

Answer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 point