Help! Write 4-5 sentences! I will give BRAINLIEST, THANKS, 5 STARS to correct and long answers.

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.

Respuesta :

Answer:

Cavalieri's Principle

If in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.

According to Cavalalieri’s Principle, if there are two solids of equal altitude (10ft pillars), the sections made by parallel planes are the same distance from the bases, they are always equal. If the figures have the same cross-sectional area (height x width) at every level and the same height, then the figures have the same volume. This means that the volumes of the two solids are completely equal. The shapes (pillars) have the same height, so their volume will be the same according to this.
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