The answer depends on whether or not the shapes are similar. If they are, then the ratio of volumes is the cube of the ratio of the linear dimensions.
64:729
125:216
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Given that the ratio of their edges is 3.11, the ratio of their volumes would be (3.11^3). Calculating this, the volume ratio is approximately 30.3. Thus, the volume of the larger pyramid is about 30.3 times that of the smaller pyramid.
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,then the ratio of their volumes will be 233 = 1,2167
If two cylinders are similar, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Given that the ratio of the altitudes (heights) of the cylinders is 2 to 3, the ratio of their volumes is ( \left(\frac{2}{3}\right)^3 = \frac{8}{27} ). Thus, the ratio of the volumes of the two cylinders is 8:27.
For two similar cylinders, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions, such as height and radius. Given that the ratio of their heights and radii is 23, the volume ratio will be (23^3). Therefore, the ratio of the volumes of the two cylinders is (23^3:1), which equals (12167:1).
# is the ratio of the demensions in the drawing to the corresponding actual dimensions. The scale factor for a scale drawing is the ratio of the dimensions in the drawing to the corresponding acual bimensions.
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Since the ratio of the lengths of their edges is 4, the ratio of their volumes would be (4^3), which is 64. Therefore, the ratio of their volumes is 64:1.
If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
64 729
27:343
64:729
A.9:36
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
125:216
If two pyramids are similar and the ratio of the lengths of their edges is ( \frac{2}{7} ), the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Therefore, the volume ratio is ( \left(\frac{2}{7}\right)^3 = \frac{8}{343} ).