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A sphere just fits in a cylindrical vess...

A sphere just fits in a cylindrical vessel and the height of the cylindrical vessel is the same as the height of the spere . Show that the curved surface area of the cylinder is the same as the curved surface area of the sphere .

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NAGEEN PRAKASHAN-VOLUME AND SURFACE AREA OF SOLIDS-Exercise
  1. From a rectangular solid of metal 42 cm xxx 30 cm xx20 cm a conical ca...

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  2. A wooden toy is in the shape of a cone mounted on a cylinder as shown ...

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  3. A sphere just fits in a cylindrical vessel and the height of the cylin...

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  4. A room in the form of a cylinder surmounted by a hemisphere valuted do...

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  5. In a hospital used water is collected in a cylindrical tank of diamete...

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  6. Three metal cubes with edges 6cm , 8cm and 10cm respectively are melte...

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  7. Six cubes each of side 12 cm are joined end to end .Find the surface a...

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  8. Two cubes each of volume 64 cm^(3) are joined end to end.Find the surf...

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  9. 40 circular plates each of radius 7 cm and thickness 1.5 cm are placed...

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  10. A right circular cone is 8 cm high and radius of its base is 2 cm .The...

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  11. A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius ...

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  12. The volume of a sphere is (4pi)/(3) cm^(3).Find the volume of that cub...

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  13. A cone of height 4 cm is melted and recast into a sphere of diameter 8...

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  14. A metallic sphere of radius 7 cm is melted and recast in to right circ...

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  15. The height and base radius of a metallic cone are 216 cm and 16 cm res...

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  16. The base diameter and height of a metallic cone are 24cm and 6cm respe...

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  17. (a) Three metallic spherical balls of radii 3 cm , 4cm and 5 cm are me...

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  18. (a) How many balls of radius 1 cm can be drawn by melting metallic sph...

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  19. (a) How many spherical balls of diameter 12 cm can be construct ed by ...

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  20. A metallic sphere of radus 4 cm and a metallic cone of base readius 3 ...

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