Revolving
Definition
When a shape or curve is rotated around an axis, creating a three-dimensional object.
Analogy
Imagine holding a hula hoop and spinning it around your waist. As the hoop rotates, it creates a solid cylinder. Similarly, when a two-dimensional shape or curve revolves around an axis, it forms a three-dimensional object.
Related terms
Axis of Rotation: The line or point around which the shape or curve is rotated.
Solid of Revolution: The resulting three-dimensional object formed by revolving a two-dimensional shape or curve.
Volume of Revolution: The measure of space occupied by the solid of revolution.
"Revolving" appears in:
Practice Questions (3)
What is the formula for finding the volume of a solid obtained by revolving the region bounded by the graphs of y = u(x) and y = v(x), around the x-axis?
What is the volume of the solid formed by revolving the region bounded by the functions f(x) = x^2 and h(x) = x + 1 around the x-axis from x = 0 to x = 1?
What is the volume of the solid formed by revolving the region bounded by the functions f(x) = x^2 and h(x) = x + 1 around the z-axis from x = 0 to x = 1?
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