If a circular cross-section with a center at (1, 1) and radius of 1 is rotated about the line y = 1, what will be the resulting three-dimensional object?Group of answer choicesConeCylinderSpherePyramid
Question
If a circular cross-section with a center at (1, 1) and radius of 1 is rotated about the line y = 1, what will be the resulting three-dimensional object?Group of answer choicesConeCylinderSpherePyramid
Solution
The resulting three-dimensional object will be a Cylinder.
Here's why:
When a circular cross-section is rotated about a line that passes through its center, it forms a cylinder. In this case, the line y = 1 passes through the center of the circle at (1, 1). The radius of the circle becomes the radius of the base of the cylinder, and the distance the circle moves when it is rotated becomes the height of the cylinder. Since the circle is being rotated 360 degrees around the line, the resulting shape is a cylinder.
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