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The total surface area of a hemisphere is how many times the square of its radius

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Important Questions on Mensuration

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10th Tamil Nadu Board
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A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is
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10th Tamil Nadu Board
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A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. Then, the volume of the frustum is
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10th Tamil Nadu Board
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A shuttlecock used for playing badminton has the shape of the combination of
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10th Tamil Nadu Board
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A spherical ball of radius r1 units is melted to make 8 new identical spherical balls each of radii r2 units. Then r1 : r2 is
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10th Tamil Nadu Board
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The volume (in cm3) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius1 cm and height 5 cm is

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10th Tamil Nadu Board
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The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. The height of the frustum is h2 units and the radius of the smaller base is r2 units. If h2:h1=1:2, then r2 : r1 is
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10th Tamil Nadu Board
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The ratio of the volumes of a cylinder, a cone, and a sphere, if the lengths of diameter is equal to the height and diameters of all the shapes are equal is
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10th Tamil Nadu Board
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The barrel of a fountain-pen cylindrical in shape, is 7cm long and 5mm in diameter. A full barrel of ink in the pen will be used for writing 330 words on an average. How many words can be written using a bottle of ink containing one fifth of a litre?