B3. In the cell, we have a full wine vat with a volume of $\frac{3}{4} \pi \mathrm{m}^{3}$. We pour the wine into two cisterns. First, we fill a cistern that has the shape of a regular quadrilateral prism with a base edge length of $1 \mathrm{~m}$ and a height of $2 \mathrm{~m}$. With the remainder, we fill a cistern in the shape of a cylinder, whose height is equal to its radius. What is the height of the cylindrical cistern? Round the result to the nearest centimeter.
B3. We calculate the volume of the prism $V_{1}=a^{2} \cdot v=2 \mathrm{~m}^{3}$. The difference in volumes $V-V_{1}=$ $=\left(\frac{3}{4} \pi-2\right) \mathrm{m}^{3} \doteq 0.3562 \mathrm{~m}^{3}$ is the remaining wine, which we pour into a cylindrical container with volume $V_{2}=\pi r^{2} \cdot v=\pi r^{3}$. From the equation, we express the radius or height of the tank $v=r \doteq$ $\doteq \sqrt[3]{\frac{0.3562 \mathrm{~m}^{3}}{\pi}} \doteq 0.484 \mathrm{~m}$. Thus, the height of the cylindrical tank is $48 \mathrm{~cm}$.

Calculation of the volume of the prism $V_{1}=a^{2} \cdot v=2 \mathrm{~m}^{2} \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$ point

Calculation of the difference in volumes $V-V_{1}=\left(\frac{3}{4} \pi-2\right) \mathrm{m}^{3} \doteq 0.3562 \mathrm{~m}^{3} \ldots \ldots \ldots \ldots \ldots \ldots \ldots 1$ point

Volume of the cylindrical container $V_{2}=\pi r^{3} \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$

Consider the volume of the cylinder $V_{v}=\pi r^{2} v \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$

Calculation of the radius of the tank $v=r \doteq \sqrt[3]{\frac{0.3562 \mathrm{~m}^{3}}{\pi}} \doteq 0.484 \mathrm{~m} \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots 1$ point

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