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?
1 answer:
Answer:
sphere (see the explanation)
Step-by-step explanation:
we know that
When you will rotate a circle about its diameter, you will obtain a sphere.
The radius of the sphere will the same as that of the circle.
In this problem
The circle is rotated about the line y=1
The line y=1 passes through a diameter of the circle
The equation of the circle is
see the attached figure to better understand the problem
so
The circle is rotated about its diameter
therefore
The resulting three-dimensional object will be a sphere with radius of 1
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