For similar solids, if the ratio of the lengths of linear dimensions (such as radius, height, length, width, etc.) is k, then the ratio of the volumes is k^3.
Look at the two cylinders. The large cylinder has height 5 cm. The small cylinder has height 3 cm. The heights are linear dimensions. The ratio of the heights of the small cylinder to the large cylinder is (3 cm)/(5 cm) = 3/5. Since the ratio of linear dimensions is 3/5, the ratio of the volumes of the small cylinder to the large cylinder is (3/5)^3 = 27/125.
393 cm^3 * 27/125 = 84.888 cm^3
Answer: 84.9 cm^3
