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A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius with sand. She empties the bucket on the ground and makes a conical heap of the sand. If the height of the conical heap is 24 cm, find :
(i) the radius and
(ii) the slant height of the heap. Give your answer correct to one place of decimal.

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The correct Answer is:
36 cm, `12sqrt(13)` cm
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NAGEEN PRAKASHAN ENGLISH-VOLUME AND SURFACE AREA OF SOLIDS-Exercise
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  2. A right circular cone is 8 cm high and radius of its base is 2 cm .The...

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

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

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

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

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

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

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

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

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

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  13. How many solid speherical balls of radus 3.5 cm can be recast by melt...

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  14. There is some water in a cylindrical vessel of radus 6 cm a sphere of ...

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  15. A solid metallic ball is dropped in a cylindrical vessel which has som...

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  16. (i) The radius of a metallic sphere is 3 cm .It melted and recast in t...

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  17. How many metallic cones of radius 3 cm and height 13.5 cm are required...

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  18. The inner radius of a hemispherical cup is 9 cm and it is completely ...

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  19. Two metallic cones of equal radii 2.1 cm and heights 4.1 cm and 4.3 cm...

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  20. Threee metallic cones of radius 2cm and height 9cm are melted and reca...

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