Definite integral expression for calculating the volume of rotating body in freshman higher mathematics

Some symbols are difficult to input. Let me give you an idea.

First find a circular area parallel to the horizontal plane, then use this circular area and differential dz to get a differential cylinder, and then integrate to get the volume.

Area of circle: πxx

Differential cylinder: dz*π*x*x, in the expression in, z = y.

When integrating this differential cylinder, 0, 1 is the volume?

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