Two spheres have a ratio of 2:3. Find the ratio of their surface area and volumes(small to large.)

Question

I really have no idea what to do please help me.

Answer 1

Two spheres in ratio of 2:3 means that the linear scale factor is 2:3, e.g., the diameters are in ratio of 2:3

The areas shall be in a ratio as the square of the scale factor, 2²:3², or 4:9.

The volumes shall in a ratio as the cube of the scale factor, 2³:3³, or 8:27.