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["         Largest Cylinder in a Cone Problem"]
[]
[null,"   This DIGMath module lets you investigate "]
[null,"             the calculus problem of finding"]
[null,"     the dimensions of the largest cylinder"]
[null,"that can be inscribed in a right circular cone."]
[]
[]
[]
["What is the radius R of the cone?"]
[null,"    (1 - 25 cubic units)",null,null," R =",{"$f":"D12","v":20}]
[{"$nulls":3},20]
[]
[]
["What is the height H of the cone?",{"$nulls":10},"The graph of the volume function = ",null,null,"pr2(R - r) H/R"]
[null,"      (1 - 25 units)",null,null,"           H =",{"$f":"D17/2","v":6}]
[{"$nulls":3},12]
[{"$nulls":11},"Select the radius r of the inscribed cylinder =",{"$nulls":3},{"$f":"O20/10","v":9.1},"units"]
[]
[{"$f":"\"With a radius of \"&TEXT(x0,\"0.0\") &\" units, \"","v":"With a radius of 9.1 units, "},{"$nulls":13},91,{"$f":"Sheet2!H7+O20*(Sheet2!H8-Sheet2!H7)/100","v":22.795}]
[{"$f":"\"   the height of the can is \"&TEXT(HH*(RR-r0)/RR,\"0.0\") &\" units\"","v":"   the height of the can is 3.3 units"},{"$nulls":11},"   The volume of this cylinder is V =",null,null,{"$f":"PI()*x0^2*(RR-r0)*HH/RR","v":{"v":850.7077905951304,"d":"851"}},"cubic units"]
[]
[{"$nulls":12},"  The value of the derivative is V' = ",null,null,{"$f":"Sheet2!I36","v":{"v":108.92215889261176,"d":"109"}}]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[]
[]
["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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