If the surface areas of two spheres have a ratio of 1 to 4, what is the ratio of their volumes?

Explanation

Given the surface area ratio of the spheres as 1:4, we use the formula for the surface area of a sphere, 4πr². This implies the ratio of their radii is 1:2. Since volume depends on the cube of the radius (4/3 πr³), the volume ratio becomes 1³ : 2³, which is 1:8.