Question

Two pillars have been delivered for the support of a shade structure in the backyard. They are both 10 feet tall, but unfortunately the makers of the pillars did not create the same-shaped pillars. In two to three sentences, describe steps you can take to determine whether the pillars have the same volume.

Answer 1

To determine if the pillars have the same volume, calculate their volumes and compare the results.

Step-by-step explanation:

To determine whether the pillars have the same volume, you can calculate the volume of each pillar and compare the results. The volume of a pillar can be found by multiplying the cross-sectional area of the base by the height of the pillar. If the calculated volumes are equal, then the pillars have the same volume.

For example, if one pillar has a circular base with radius 1 meter and the other pillar has a square base with side length 1 meter, you can calculate the volume of the square pillar as 1 * 1 * 10 = 10 cubic meters, and the volume of the circular pillar as π * 1^2 * 10 = 10π cubic meters. If 10π is equal to 10, then the pillars have the same volume.