729/8
volume goes a radius cubed so (8/5) cubed = 4.096
16/9
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.
No. To be similar ALL lengths must be in the same ratio. If two cylinders have the same radii, but different heights then the radii have one ratio (1:1) but the heights have a different ratio; thus they are not similar.
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 the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
729/8
It is 8 : 343.
27:343 *apex sucks*
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
3^3 / 5^3 = 27 / 125
volume goes a radius cubed so (8/5) cubed = 4.096
3/4
It is 27 : 343.
16/9
729:1