I2.2 If the height of a cylinder is doubled and the new radius is $h$ times the original, then the new volume is $k$ times the original. Find $k$.
Let the original radius be $r$, the original height be $p$. Then the new radius is $4 r$, the new height is $2 p$.
$$
\begin{array}{l}
\pi(4 r)^{2}(2 p)=k \pi r^{2} \cdot p \\
k=32
\end{array}
$$