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Find the volume of a frustum of cone if ...

Find the volume of a frustum of cone if radii of circular bases as R and r and height h.

Text Solution

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The correct Answer is:
`(1)/(3) pi r (R^(2)+r^(2)+Rr)` cubic unit
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Knowledge Check

  • The volume of a frustum of cone when the circular ends have areas A_(1) and A_(2) is

    A
    `V=(1)/(3)pih[A_(1)+A_(2)]`
    B
    `V=(1)/(3)[A_(1)+A_(2)]`
    C
    `V=(1)/(3)hxx[A_(1)+A_(2)+A_(1)A_(2)]`
    D
    `V=(1)/(3)xxhxx[A_(1)+A_(2)+sqrt(A_(1)+A_(2))]`

  • A frustum of cone with radii 20 cm and 32 cm has height 8 cm. its volume is

    A
    1720 `picm^(3)`
    B
    `1720cm^(3)`
    C
    `260picm^(3)`
    D
    `5504picm^(3)`

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