Content
Volumes of Revolution
Finding the volume of a solid revolved around a function or axis to create a 3D figure
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Finding the volume of a solid revolved around a function or axis to create a 3D figure
Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)
No exercises available for this concept.
A curve y=f(x) can be revolved around the x-axis to produce a 3D solid. The following example shows y=2+sinx revolved 2Ï€ about the x-axis.
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The volume of the resulting solid is given by
The volume of the solid produced by revolving a curve 2Ï€ about the y-axis by finding x in terms of y and evaluating
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