Areas and volumes of similar solids aid?

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

84.9 cm^3