The diagram shows part of the line 3x + 8y = 24. Rotating the shaded region through

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The diagram shows part of the line 3x + 8y = 24. Rotating the shaded region through 360° about the x-axis would give a cone of base radius 3 and perpendicular height 8.

Find the volume of the cone using:
a. Integration
b. The formula for the volume of a cone.

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