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Application of Derivatives question

2015 · Shift 1 · Q27

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PYQ Library
JEE Advanced
Mathematics
Application of Derivatives
2015 · Shift 1 · Q27

Application of Derivatives question

2015 · Shift 1 · Q27

JEE AdvancedMathematicsApplication of DerivativesNumerical+4 / −1

A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of

Vm{m^3}

, has a

2

mm thick solid wall and is open at the top. The bottom of the container is a solid circular disc of thickness

2

mm and is of radius equal to the outer radius of the container. If the volume of the material used to make the container is minimum when the inner radius of the container is

10

mm, then the value of

{V \over {250\pi }}

is

Numerical answer

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