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A conical vessel is to be prepared out o...

A conical vessel is to be prepared out of a circular sheet of gold of unit radius. How much sectorial area is to be removed from the sheet so that the vessel has maximum volume?

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Knowledge Check

  • A conical vessel is to be prepared out of a circular sheet of metal of unit radius in order that the vessel has maximum value, the sectorial area that must be removed from the sheet is A_(1) and the area of the given sheet is A_(2) , then A_(2)/A_(1) is equal to

    A
    `3+sqrt6`
    B
    `7+sqrt5`
    C
    `2+sqrt5`
    D
    `3 + sqrt2`

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    A
    24
    B
    32
    C
    45
    D
    60

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    A
    `(pir^(6))/(4R^(4))`
    B
    `(pir^(4))/(4R^(2))`
    C
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    D
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