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A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, on

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A vessel is in the for1n of an inverted cone. Its height is 8 cm and the radius of its Lop, which is open, is 5 cnt. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cn are dropped nto the vessel, one fourth of the water flows out. Find the number of lead shots dropped in the vessel.

A vessel in the form of inverted cone. Its height is 8 cm and radius of its top, which is open, is 5 cm. It is filled with water upto the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped in the vessel, one fourth of the water flows out. Find the number of lead shots dropped in the vessel.

Knowledge Check

  • A cone is 8.4 cm heigh and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

    A
    4.2 cm
    B
    2.1 cm
    C
    2.4 cm
    D
    1.6 cm

  • A cone id 8.4 cm height and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is .

    A
    4.2 cm
    B
    2.1 cm
    C
    2.4 cm
    D
    1.6 cm

  • The volume of a vessel is in the form of a right circular cylinder is 448 pi cm^(3) and its height is 7cm. The radius of its base is :

    A
    5cm
    B
    7cm
    C
    9 cm
    D
    8 cm

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    A vessel is in form of an inverted cone . Its height is 8 cm and the radius is 5 cm . It is filled with water up to the rim .When lead shots , each of which is a sphere of radius 0.5 cm , are dropped into the vessel , one fifth of the water flows out . Find the number of lead shots dropped into the water .

    A vessel full of water is in the form of an inverted cone of height 8 cm and the radius of its top, which is open, is 5 cm. 100 spherical lean balls are droppend into the vessel. One-fourth of the water flows out of the vessel. Find the radius of a sphrical ball.

    Sushant has a vessel of the form of an inverted cone, open at the top, of height 11 cm and radius of the top as 2.5 cm and is full of water. Metallic spherical balls each of diameter 0.5 cm are put in the vessel due to which two - fifths of the water in the vessel flows out Find how many balls were put in teh vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds. What value has been shown by Sushant ?

    An inverted conical vessel whose height is 10 cm and the radius of whose base is 5 cm is being filled with water at the uniform rate of 1.5cm^(3)//min . Find the rate at which the level of water in the vessel is rising when the depth is 4 cm.

    The volume of a vessel in the form of right circular cylinder is 448 pi cm^(3) and its height is 7 cm. The radius of its base is :

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