If a semi-circle was rotated about the y-axis, like the one shown below, what would be the resulting three-dimensional shape?
Pyramid
Cylinder
Sphere
Cone
If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere.
What is a semi-circle?
A semicircle is a half-circle formed by a one-dimensional locus of points.
What is a sphere?
A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.
If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere. This is because of the fact that when the semi-circle will be rotated about the y-axis then all the points will be at equal distance in all the directions from the centre.
