Long description: block2fig3

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A diagram illustrating the method of slicing for finding the volume of revolution, showing a cone sliced into thin circular discs along the x-axis.

Alt text: A diagram illustrates the concept of finding the volume of revolution by slicing a cone into thin circular discs.

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  • The image shows a two-dimensional coordinate system with an x-axis and a y-axis labeled with appropriate units.
  • A cone shape is drawn, originating from the origin and opening to the right, defined by the line segment \(y = 2x\).
  • The region bounded by the cone and the line segment connecting \((x, y)\) to the origin is indicated.
  • A thin, shaded rectangular strip, labeled with a small change in \(x\), \(\Delta x\), is shown perpendicular to the x-axis, representing the cross-section of a disc.
  • To the right of the cone, a larger, elliptical shape is drawn, representing the cumulative volume being approximated by the sum of these thin discs.

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