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The base of s is a circular disk with radius r. Parallel cross sections perpendicular to the base are squares. What is the shape of s?

1) Triangle
2) Rectangle
3) Circle
4) Cylinder

1 Answer

3 votes

Final answer:

The shape described with a circular base and parallel square cross sections perpendicular to the base is a cylinder. This is identified as option 4 in the set of choices provided.

Step-by-step explanation:

The shape in question, with a circular disk as the base and parallel cross sections perpendicular to the base being squares, is known as a cylinder. This three-dimensional figure maintains the circular base and top, while the sides formed by the square cross-sections stand perpendicular to the bases. To provide a specific answer to the question, the shape of s is option 4, a Cylinder.

When examining geometric shapes, it is important to recognize the properties of the figure. In this case, the circular base and the square cross-sections, which are consistent in size along the height of the object, define it as a cylinder. This is because a cylinder's cross-sectional shape remains constant along its height, as opposed to other three-dimensional figures like cones or pyramids.

User Zeeshan Ahmad
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