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If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5 cm and height 6 cm, then how much water flows out of the cylindricall cup?
The radii of the ends of a frustum of a cone of height h cm are r_{1} cm and r_{2} cm . The volume in cm^{3} of the frustum of the cone is
A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by
Volume of sphere
= Volume of water in cylindrical vessel
∴ Water level rises by 3 cm
The shape of a gilli, in the gillidanda game figure is a combination of
A right circular cylinder of radius r cm and height h cm (h > 2r) just encloses a sphere of diameter
A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed tha 1/8 space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is
During conversion of a solid from one shape to another, the volume of the new shape will
The shape of a glass (tumbler) (see Fig.) is usually in the form of
A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8 space is covered by the mortar.
Then the number of bricks used to construct the wall is
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket is
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