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A hollow sphere of internal and exte...

A hollow sphere of internal and external radii are 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm . Find the number of cones .

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A hollow sphere of internal and external radii 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. find the height and the slant height of the cone.

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Knowledge Check

  • A right circular cone 3.6 cm high with base radius 1.6 cm is melted and recast into another cone of base radius 1.2 cm. then its height is

    A
    6 cm
    B
    6.4 cm
    C
    7 cm
    D
    4.5 cm

  • A solid metallic sphere of radius 8 cm is melted and recast into 'n' spherical solids of radius 1 cm. then n=

    A
    500
    B
    256
    C
    556
    D
    512

  • 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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    A metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones each of radius 3.5 cm and height 3 cm. find the number of cones thus formed.

    A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 (2)/3 cm and height 3cm. Find the number of cones so formed.

    The diameter of the internal and external surfaces of a hollow hemispherical shell are 6 cm and 10 cm respectively. It is melted and recast into a solid cylinder of diameter 14 cm . Find the height of the cylinder.

    Find the volume of the cone having radius 7 cm and height 18 cm.

    The surface area of a metallic sphere is 616cm^(2) . It is melted and recast into a cone of height 28 cm. find the diameter of the base of the cone so formed.

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