Final answer:
To find the volume of a similar cone, compare the ratios of the radii and volumes. The volume of the similar cone is 4,480cm³.
Step-by-step explanation:
To find the volume of a similar cone, we need to compare the ratios of the radii and the volumes of the original cone and the similar cone.
The ratio of the radii is 24cm/18cm = 4/3.
The ratio of the volumes is (4/3)^3 = 64/27.
Since the volume of the original cone is 1,920cm³, the volume of the similar cone is (64/27) x 1,920cm³ = 4,480cm³.