If the radii of two spheres are in the ratio 1 to 3, what is the ratio of their volumes?
Explanation
Given the radius ratio r1 : r2 = 1 : 3, the volume ratio is proportional to the cube of the radii ratio. Therefore, volume ratio = 1³ : 3³ = 1 : 27.
Given the radius ratio r1 : r2 = 1 : 3, the volume ratio is proportional to the cube of the radii ratio. Therefore, volume ratio = 1³ : 3³ = 1 : 27.