Incorrect. To find the remaining space in the larger cylinder, you must find the volumes of the two cylinders and then subtract the volume of the smaller cylinder from the volume of the larger cylinder. The volume of the small cylinder is $\displaystyle\pi{{r}}^{{2}}{h}=\pi{{4}}^{{2}}{\left({2}{x}+{2}\right)}={16}\pi{\left({2}{x}+{2}\right)}={32}\pi{x}+{32}\pi\usepackage{cmbright}\Huge\$ . Now, find the volume of the large cylinder by the same method, multiplying the $\displaystyle\pi\usepackage{cmbright}\Huge\$ by the square of the radius 8, and multiplying this product by the height of $\displaystyle{3}{x}\usepackage{cmbright}\Huge\$ . Then, subtract.