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Surface Area of Revolution
Worksheet
Grade Level
Calculus II
CAL2.71 Surface Area of Revolution
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For a polar curve r = r(θ) in the first quadrant rotated about the y-axis, which radius and arc-length component should be used?
A
radius = r(θ)cos θ; ds = √(r(θ)
2
+[r'(θ)]
2
) dθ
B
radius = r(θ)sin θ; ds = √(r(θ)
2
+[r'(θ)]
2
) dθ
C
radius = r(θ); ds = √(1+[r'(θ)]
2
) dθ
D
radius = θ; ds = √(r(θ)
2
+[r'(θ)]
2
) dθ
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