Finding the volume of a solid revolved around a function or axis to create a ​3D​ figure
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Practice exam-style volumes of revolution problems
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 ​2π​ 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 ​2π​ about the ​y​-axis by finding ​x​ in terms of ​y​ and evaluating
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