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?

Answer 1

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

$(x-1)^2+(y-1)^2=1$

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