{"text_format":"3","workbook":"xlsx","n_sheets":3,"sheets":["h in terms of r","r in terms of h","Sheet2"],"not_rendered":{"charts":2,"images":4,"defined_names":19,"comments":2},"read":"whole","date_system":"1900"}

{"sheet":"h in terms of r","index":0,"n_rows":35,"n_cols":16,"rows_kept":35,"merged":[[28,2,28,3]]}
[null,"      Contours of the Volume "]
[null,"      Function for a Cylinder"]
[]
[null,"This DIGMath module lets you investigate "]
[null,null,"    the contour diagrams"]
[null,"      of the volume function V =p r2h"]
[null,"          for a right-circular cylinder"]
[null,"                 with h in terms of r."]
[]
[]
["   The contours shown correspond to V = 10,  V = 30, and  V = 50."]
[]
["Select another value ( 0 to 50) for V =",{"$nulls":3},{"$f":"G13","v":18},null,18]
[{"$nulls":9},"        Trace along the contours at  r0  =",{"$nulls":3},{"$f":"L15/10","v":2.4}]
[{"$nulls":11},24,{"$f":"a+L15*(b-a)/100","v":-2.08}]
[null,"The interval used is from r = 0  to  r = 10."]
[]
[{"$nulls":9},"        At the tracing point  r0 =",null,null,{"$f":"x0","v":2.4}]
["Click each item below for suggestions and investigations"]
[null,"   Item 1",{"$nulls":7},"   the value of h on the contour with V = 10 is",{"$nulls":5},{"$f":"Sheet2!B11","v":{"v":0.5526213301801922,"d":"0.55"}}]
[null,"   Item 2",{"$nulls":7},"   the value of h on the contour with V = 30 is",{"$nulls":5},{"$f":"Sheet2!B24","v":{"v":1.6578639905405768,"d":"1.66"}}]
[null,"   Item 3",{"$nulls":7},"   the value of h on the contour with V = 50 is",{"$nulls":5},{"$f":"Sheet2!B34","v":{"v":2.7631066509009607,"d":"2.76"}}]
[null,"   Item 4",{"$nulls":7},{"$f":"\"   the value of h on the contour with V = \"&TEXT(D,\"#\")&\" is\"","v":"   the value of h on the contour with V = 18 is"},{"$nulls":5},{"$f":"Sheet2!B44","v":{"v":0.9947183943243458,"d":"0.99"}}]
[null,"   Item 5"]
[]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["    Click this link:",null,"DIGMath for Calculus"]
[]
["Created by:  Sheldon P. Gordon   "]
["                      Farmingdale State College    "]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

{"sheet":"r in terms of h","index":1,"n_rows":35,"n_cols":16,"rows_kept":35,"merged":[[28,2,28,3]]}
[null,"      Contours of the Volume "]
[null,"      Function for a Cylinder"]
[]
[null,"This DIGMath module lets you investigate "]
[null,null,"    the contour diagrams"]
[null,"      of the volume function V =p r2h"]
[null,"          for a right-circular cylinder"]
[null,"                 with r in terms of h."]
[]
[]
["  Three contours shown correspond to V = 10,  V = 30, and  V = 50."]
[]
["Select another value ( 0 to 50) for V =",{"$nulls":3},{"$f":"G13","v":20},null,20]
[{"$nulls":9},"        Trace along the contours at  h0  =",{"$nulls":3},{"$f":"L15/10","v":2.3}]
[{"$nulls":11},23,{"$f":"a+L15*(b-a)/100","v":-2.16}]
[null,"The interval used is from h = 0  to h = 10."]
[]
[{"$nulls":9},"        At the tracing point  h0 =",null,null,{"$f":"x00","v":2.3}]
["Click each item below for suggestions and investigations"]
[null,"   Item 1",{"$nulls":7},"   the value of r on the contour with V = 10 is",{"$nulls":5},{"$f":"Sheet2!E11","v":{"v":1.1764166043056543,"d":"1.18"}}]
[null,"   Item 2",{"$nulls":7},"   the value of r on the contour with V = 30 is",{"$nulls":5},{"$f":"Sheet2!E24","v":{"v":2.037613329525045,"d":"2.04"}}]
[null,"   Item 3",{"$nulls":7},"   the value of r on the contour with V = 50 is",{"$nulls":5},{"$f":"Sheet2!E34","v":{"v":2.6305474970869147,"d":"2.63"}}]
[null,"   Item 4",{"$nulls":7},{"$f":"\"   the value of r on the contour with V = \"&TEXT(D,\"#\")&\" is\"","v":"   the value of r on the contour with V = 18 is"},{"$nulls":5},{"$f":"Sheet2!E44","v":{"v":1.6637043168099592,"d":"1.66"}}]
[null,"   Item 5"]
[]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["     Click this link:",null,"DIGMath for Calculus"]
[]
["Created by:  Sheldon P. Gordon   "]
["                      Farmingdale State College    "]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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["a =",-4,null,"a =",-4,null,"h","V = 10","V = 30","V = 50","V = DD"]
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["V = 10",null,null,"V = 10",null,null,0.4,{"v":2.8209479177387813,"d":"2.8"},{"v":4.886025119029199,"d":"4.9"},{"v":6.3078313050504,"d":"6.3"},{"v":3.989422804014327,"d":"4.0"}]
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["V =30",null,null,"V =30",null,null,1.4000000000000001,{"v":1.5078600877302686,"d":"1.5"},{"v":2.6116902826540898,"d":"2.6"},{"v":3.371677656723677,"d":"3.4"},{"v":2.132436186229231,"d":"2.1"}]
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["V = 50",null,null,"V = 50",null,null,2.400000000000001,{"v":1.1516471649044515,"d":"1.2"},{"v":1.9947114020071632,"d":"2.0"},{"v":2.5751613468212633,"d":"2.6"},{"v":1.6286750396763996,"d":"1.6"}]
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