1. (5 points) As shown in the figure, the ratio of the height of the cylinder to the height of the cone is 4:5, and the ratio of the base circumference is $3:5$. Given that the volume of the cone is 250 cubic centimeters, the volume of the cylinder is $\qquad$ cubic centimeters.
【Solution】Solution: The ratio of the base circumference of the cylinder to that of the cone is 3:5, so the ratio of the base area of the cylinder to that of the cone is $9: 25$,
Let the base area of the cylinder be 9, the base area of the cone be 25, the height of the cylinder be 4, and the height of the cone be 5,
The volume of the cylinder: The volume of the cone
$$
\begin{array}{l}
=(9 \times 4):\left(25 \times 5 \times \frac{1}{3}\right) \\
=108: 125
\end{array}
$$

The volume of the cylinder: $250 \div 125 \times 108$
$$
=2 \times 108
$$
$=216$ (cubic centimeters)
Answer: The volume of the cylinder is 216 cubic centimeters.
Therefore, the answer is: 216 .