Incorrect. To find the volume of the machine part, you need to find the combined volume of the two cylinders. The volume of the large cylinder is $\displaystyle\pi{{r}}^{{2}}{h}=\pi{{\left({9}{q}\right)}}^{{2}}\cdot{13}{q}=\pi\cdot{81}{{q}}^{{2}}\cdot{13}{q}={1053}\pi{{q}}^{{3}}\usepackage{cmbright}\Huge\$ . Find the volume of the small cylinder using the same method and add the two quantities together.