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.
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
729/8
The volume ( V ) of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius. If the ratio of the radii of two spheres is 58, then the ratio of their volumes is given by ( \left(\frac{r_1}{r_2}\right)^3 = 58^3 ). Therefore, the ratio of the volumes of the two spheres is ( 58^3 ), which equals 195112.
It is 8 : 343.
3/4
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
27:343 *apex sucks*
The similarity ratio of the two spheres can be found by taking the cube root of the ratio of their volumes. The volume of the first sphere is 20pi m^3 and the volume of the second sphere is 160pi m^3. The cube root of the ratio of their volumes is (160pi/20pi)^(1/3) = (8)^(1/3) = 2. Therefore, the similarity ratio of the two spheres is 2:1.
3^3 / 5^3 = 27 / 125
volume goes a radius cubed so (8/5) cubed = 4.096
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64