10,11 |

The lateral surface development of a cylinder is a square with a side length of $2 \sqrt[3]{\pi}$. Find the volume of the cylinder.
Let the generating line of the cylinder be $h$, and the radius of the base be $r$, the volume of the cylinder be $V$. Since the development of the lateral surface of the cylinder is a square with side $2 \sqrt[3]{\pi}$, the length of the circumference of the base and the generating line of the cylinder are also equal to $2 \sqrt[3]{\pi}$, i.e.,

$$
2 \pi r=2 \sqrt[3]{\pi}, h=2 \sqrt[3]{\pi}
$$

Therefore,

$$
V=\pi r^2 h=\pi \cdot\left(\frac{\sqrt[3]{\pi}}{\pi}\right)^2 \cdot(2 \sqrt[3]{\pi})=2
$$

## Answer

2.00