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Published byShonda Kennedy Modified over 9 years ago
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Volumes by Cylindrical Shells
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What is the volume of and y=0 revolved around about the y-axis ? - since its revolving about the y-axis, the equation needs to be solved in terms of y - not easy to solve the equation in terms of y
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Another Method Cylindrical shells can be used Cut into cylindrical sections and solve for the volume of the cylinder Volume = circumference x height x thickness
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Radius is the x position Δr is Δx or dx The h is the y position or f(x)
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Example Find the volume of the solid obtained by rotating the region bounded by and y=0 about the y-axis
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Example Find the volume of the solid obtained by rotating the region bounded by y = x and y = x 2 about the y-axis
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