Put the cones in order from greatest volume (put at the top of the list) to least volume (put at the bottom of the list).

Question

Try to put them in order thinking about the formula instead of actually solving for the volume.

(5 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.

Answer 1

To organize the cones from greatest to least volume, we need to consider the formula for the volume of a cone:

\[ V = \frac{1}{3} \pi r^2 h \]

where \( r \) is the radius of the base, and \( h \) is the height of the cone.

Without specific dimensions for the cones, we can arrange them based on the relative sizes of their radii and heights (if provided). Generally:

1. A cone with a larger radius and/or greater height will have a greater volume.
2. If two cones have the same height but different radii, the one with the larger radius will have a greater volume.
3. If two cones have the same radius but different heights, the one with the greater height will have a greater volume.

Please provide the dimensions or properties of the specific cones so that I can accurately arrange them by volume.