The formula for the volume of a right circular cylinder is: V=πr2h, where r is the base radius and h is the height. Original radius (r)=6cm Original height (h)=9cm Calculation: Original Volume (Voriginal )=π×(6)2×9=π×36×9=324πcm3 New Dimensions of the Cylinder: New radius =6cm∕2=3cm New height =9cm+3cm=12cm New Volume of the Cylinder: New Volume (Vnew )=π×(3)2×12=π×9×12=108πcm3 Now, we need to compare the new volume with the original volume: Comparing Volumes: Original Volume (Voriginal )=324πcm3 New Volume (Vnew )=108πcm3 New Volume ∕ Original Volume =108π∕324π=1∕3 Thus, the new volume is one-third of the original volume.