Two cones are similar one has the radius of 3cm and the other has a radius of 4cm..what is the scale factor of their heights?

To find the scale factor of their heights, we can use the formula for the ratio of corresponding sides of similar shapes, which is:

Scale factor = (height of larger cone) / (height of smaller cone)

Given that the radii of the cones are in a ratio of 4:3, meaning the height of the cones will also have that same ratio. Therefore, the scale factor of their heights is 4:3 or 4/3.