Explanation:

To determine the percentage increase in the volume of the cylinder:

- Original cylinder volume formula:

$$V=\pi r^{2}h$$

- New radius = $r+120\mathrm{\%}\times r=2.2r$

- New height = $h-40\mathrm{\%}\times h=0.6h$

- New cylinder volume:

$$V_{new}=\pi (2.2r{)}^2\times 0.6h$$

$$=\pi \times 4.84r^2\times 0.6h$$

$$=2.904\pi r^{2}h$$

- Volume increase = $2.904-1=1.904$ or 190.4%

- Correct answer is option 2: 190.4%