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Show that the volume of the greatest cylinder, which can be inscribed in a cone of height 'h' and semi - vertical angle `30^(@)` is `(4)/(81)pih^(3)`

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (f) (Long Answer Type Questions (II))
  1. Show that the volume of the greatest cylinder, which can be inscribed ...

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  2. Show that the altitude of the right circulau cone of maximum volume th...

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  3. Find the volume of the larges cylinder that can be inscribed in a s...

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  4. Find the volume of the larges cylinder that can be inscribed in a s...

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  5. Show that the right-circular cone of least curved surface and given...

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  6. Show that the height of the cylinder of maximum volume that can be in...

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  7. Find the height of right circular cylinder of maximum volume that can ...

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  8. Show that the radius of right - circular cylinder of maximum volume, t...

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  9. Prove that the radius of the right circular cylinder of greatest cu...

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  10. Of all the closed cylinderical cans (right - circular), which enclose ...

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  11. Show that the surface area of a closed cuboid with square base and ...

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  12. A figure consists of a semi-circle with a rectangle on its diameter...

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  13. A window is the in the form of a reactangle, surmounted by a semi - ci...

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  14. Show that a cylinder of a given volume which is open at the top has...

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  15. The height of a closed cylinder of given volume and the minimum sur...

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  16. Rectangles are inscribed inside a semicircle of radius r. Find the r...

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  17. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

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  18. A tank with rectangular base and rectangular sides, open at the top...

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  19. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box ...

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  20. An open box is to be made of square sheet of tin with side 20 cm, by c...

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