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Solids of Revolution – if a region in the plane is revolved about a line “line-axis of revolution” Simplest Solid – right circular cylinder or “Disc” Volume: circular cylinder = πr 2 h
Disc Method – representative rectangle is perpendicular to axis (and touches axis of rotation) i) Horizontal Axis of Revolution i) Vertical Axis of Revolution
P.430 # 1-5,15
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Outer radius – inner radius
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Find the volume of the solid formed by revolving the region bounded by the graphs y=4x 2 and y=16 about the line y=16.
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Find the volume of the solid formed by revolving the region bounded by the graphs y=0, x=1 and x=4 about the line y=4
P.430 # 11, 16, 17, 19, 23, 27, 32, 34
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6.3 Volumes of Revolution Tues Dec 15 Do Now Find the volume of the solid whose base is the region enclosed by y = x^2 and y = 3, and whose cross sections.
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