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The radius of base and height of a righ...

The radius of base and height of a right circular cone are equal . If the cone be melted to make a right circular cylinder of same radius , then what will be the ratio of the height of cylinder and the slant height of the cone ?

Text Solution

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The correct Answer is:
`1: 3 sqrt(2)` ;
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If the radii and volumes of a solid right circular cone and a solid sphere be equal, then what will be the ratio of the length of diameter of the sphere and the height of the cone ?

The slant height of a right circular cone is always greater than the height of the cone.

Knowledge Check

  • The radius of a right circular cone and its height is r unit . The volume of the sphere of diameter equal to the stant height of the cone will be

    A
    ` (2r^(3))/3 pi ` cu - unit
    B
    ` (sqrt(2r^(3)))/3 pi ` cu - point
    C
    ` (4r^(3))/3 pi ` cu - unit
    D
    ` (r^(3))/3 ` cu - unit

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