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Find the maximum volume of a cone that c...

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r.

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RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. 12 spheres of the same size are made from melting a solid cylinder o...

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  2. A solid metallic spherical ball of diameter 6 cm is melted and reca...

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  3. A hollow sphere of internal and external diameters 4 cm and 8 cm re...

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  4. A solid piece of iron of dimensions 49xx33xx24 cm is moulded int...

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  5. The ratio of lateral surface area to the total surface area of a cyl...

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  6. A solid consists of a circular cylinder with an exact fitting right...

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  7. Find the maximum volume of a cone that can be carved out of a solid ...

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  8. The radii of the bases of two cylinders are in the ratio 3 : 5 and ...

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  9. A right circular cylinder of radius r and height h\ (h gt 2r) just ...

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  10. The radii of the circular ends of a frustum are 6 cm and 14 cm. If i...

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  11. The height and radius of the cone of which the frustum is a part are...

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  12. The diameters of the ends of a frustum of a cone are 32 cm and 20 cm...

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  13. A solid frustum is of height 8 cm. If the radii of its lower and upp...

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  14. The radii of the ends of a bucket 16 cm high are 20 cm and 8 cm. Th...

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  15. The diameters of the top and the bottom portions of a bucket are 42 cm...

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  16. If four times the sum of the areas of two circular faces of a cylin...

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  17. If the radius of the base of a right circular cylinder is halved, k...

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  18. A metallic solid cone is melted to form a solid cylinder of equal r...

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  19. A rectangular sheet of paper 40 c mxx22 c m , is rolled to form ...

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  20. The number of solid spheres, each of diameter 6 cm that can be made...

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