A pair of similar cones hive a scale factor of \( 3: 5 \) What is the ratio of their base areas? Please typ your answer in the form of a ratio ( \( x: y \) ) with no spaces.

To find the ratio of the base areas of the cones, we use the scale factor of the cones. The ratio of the areas is the square of the ratio of the linear dimensions. Therefore, we square the scale factor \( \frac{3}{5} \): \[ \text{Area Ratio} = \left(\frac{3}{5}\right)^2 = \frac{9}{25} \] So the ratio of their base areas is \( 9:25 \).