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OpenStudy (adamaero):
MEDAL - Am I overthinking this surface area question?
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OpenStudy (adamaero):
Suppose to find the percent of the surface area the spheres (part circles) take from the plane.
OpenStudy (adamaero):
(.5, .5, 1) plane P = (0, .5, 0) Q = (.5, 0, 0) R = (0, 0, 1) vtr PQ = <.5, -.5, 0> vtr PR = <0, -.5, 1> cross product = | i j k | | .5 -.5 0 | = -.5i - .5j + -.25k = <a, b, c> | 0 -.5 1 | <-.5, -.5, -.25>·<x, y - .5, z> = 0 -.5x + (-.5(y-.5)) - .25z = 0 .5x + .5y + .25z = .25 y = -x + 0.5 ... http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceArea.aspx
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