Two cones are similar. The small one has a radius of 3cm and the bigger one has a radius of 4cm. What is the scale factor of:

Question

1. Their lengths
2. Their base areas
3. Their volumes

Answer 1

1. The scale factor of their lengths can be found by dividing the radius of the bigger cone by the radius of the smaller cone:
Scale factor = 4cm / 3cm = 4/3 = 1.33

2. The scale factor of their base areas can be found by squaring the scale factor of their radii:
Scale factor = (4/3)^2 = 16/9 = 1.78

3. The scale factor of their volumes can be found by cubing the scale factor of their radii:
Scale factor = (4/3)^3 = 64/27 = 2.37