Question

An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.

Answer 1

You can figure out the new cone or get the volume of the original cone and use the fact that if two objects are proportional in their dimensions, then the volume is proportional to the cube of the ratio of any of their lengths. E.G., doubling a sphere diameter increases the volume by 2 cubed = 8.

Answer 2

The volume of the original chamber is 102.02 cubic inches. This is 242.47 cubic inches less than the volume of the new chamber.

Hope this helps! I got it right on the Plato/Edmentum mastery test ♡