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