16/9
The volume of a cone is given by the formula ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. If the two cones are similar, the ratio of their volumes is equal to the cube of the ratio of their radii. Thus, the ratio of the volumes is ( \left(\frac{9}{1}\right)^3 = 729:1 ).
The ratio of the volumes of two similar spheres is the cube of the ratio of their radii. If the ratio of their radii is 59:1, then the ratio of their volumes is ( 59^3:1^3 ), which is ( 205379:1 ). Thus, the volume ratio of the two spheres is 205379:1.
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).
Not enough information has been given but the volume of a cone is 1/3*pi*radius squared *height and its base area is pi*radius squared
729/8
729:1
343:1
343:1
6 to 1
6^3=216 The volume of a cone is 1/3*pi*r^2*h. If r and h are each 6 times larger (as they are in this problem), then the volume is 6*6*6 times larger.
The ratio of the volumes of two similar spheres is the cube of the ratio of their radii. If the ratio of their radii is 59:1, then the ratio of their volumes is ( 59^3:1^3 ), which is ( 205379:1 ). Thus, the volume ratio of the two spheres is 205379:1.
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
It is 8 : 343.
It is 27 : 343.
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
7:3
Not enough information has been given but the volume of a cone is 1/3*pi*radius squared *height and its base area is pi*radius squared