Answer:
When a cone is dilated by a scale factor of k, its volume changes by a factor of k^3. This is because the dilation affects all three dimensions (height, base radius, and slant height) of the cone.
So, if the volume of cone A is 60 m³ and it is dilated by a scale factor of 5, the volume of cone B can be found as follows:
Volume of cone B = (scale factor)^3 x volume of cone A
Volume of cone B = 5^3 x 60 m³
Volume of cone B = 125 x 60 m³
Volume of cone B = 7500 m³
Therefore, the volume of cone B, the image of cone A after dilation by a scale factor of 5, is 7500 m³