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Revolving

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AP Calculus AB/BC

Definition

When a shape or curve is rotated around an axis, creating a three-dimensional object.

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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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