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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.

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sameyalingareddy

Answer:

These pillars have the same volume according to Cavalieri's Principle

Step-by-step explanation:

The given two pillars are ten feet tall and the cross sections of each pillar have the same areas

This principle states that if two solids have the same height, an their cross sections reveal the same area, then they have equal volumes.

The given two pillars have equal height and the cross sections have same area, so they are true to this principle, and thus have same volumes.

onyebuchinnaji

Since the makers of the pillars did not create the same-shaped pillars, the base area will be different and hence, the volume will be different.

Volume of the pillars

The volume of the pillars is determined from the product of the heights and the area of the base of the pillars.

Steps to determine if the volume of the pillars are the same

  • First, determine the area of the base of each pillar
  • Second, multiply the area of the base and the height of the pillars.

Volume of the pillars from base area and height

Since the makers of the pillars did not create the same-shaped pillars, the base area will be different and hence, the volume will be different.

Learn more about volume here: https://brainly.com/question/1972490

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