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Answer:
You will need to calculate the area of the circle on top of the pillar. Then, times it by ten. It then will be the whole volume of the pillar. Then, you compare to see if the pillars have the same volume.
The steps to determine whether the pillars have the same volume are;
- First, we must know that the volume of an object of uniform surface area is the product of its Area and height.
- The uniform area of each pillar is then evaluated and if equal;
- Both pillars can be concluded to have the same volume.
We must first recall that for various shapes, the volume of the shape is a function of its height.
For example: a A cylinderical pillar and a rectangular prism pillar;
- Volume of a cylinder = πr²h
- Volume of a Cuboid = l × w × h
Since h = h.
Therefore, for both pillars to have the same volume; their Areas must be equal.
- πr² = l × w
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