8.2 Area of a Surface of Revolution

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Presentation transcript:

8.2 Area of a Surface of Revolution Definition: If the graph of a continuous function is revolved about a line, the resulting surface is called a surface of revolution Surface Area of a Frustum of a Cone: L Axis of Revolution

Surface Area: If the curve is rotated about the x-axis If the curve is rotated about the y-axis Note: Use or

Examples: Find the area of the surface obtained by rotating the curve about the x-axis: 1) Solutions:

2) rotating about the x-axis Solutions:

Find the area of the surface obtained by rotating the curve about the y-axis: 3) Solutions:

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