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The semivertical angle of the cone of ma...

The semivertical angle of the cone of maximum volume and of given slant height is

A

`Tan ^(-1) (sqrt2)`

B

`Cos ^(-1) (sqrt2)`

C

`Sin^(-1) (sqrt2)`

D

none

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Verified by Experts

The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. A box is made from a piece of metal sheet 24 cms square by cutting equ...

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  3. An open top box of maximum possible volume from a square piece of tin ...

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  4. From a rectangular sheet of dimensions 30cm times 80cm, four squares o...

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  5. The strength of a beam varies as the product of its breadth b and squ...

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  6. The height of the cylinder of maximum volume which can be inscribed i...

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  7. The radius of right circular cylinder of maximum volume which can be i...

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  8. The maximum volume of the cylinder which can be inscribed in a sphere ...

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  9. The volume of the greatest cylinder which can be inscribed in a cone o...

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  10. The height and the radius of the base of a cylinder of maximum volume,...

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  11. The dimensions of the greatest cylinder that can be inscribed in a sph...

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  12. Show that when the curved surface of a is right circular cylinder insc...

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  13. A cylindrical, gas container is closed at the top and open bottom. If...

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  14. The height of the cylinder of maximum volume which can be inscribed i...

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  15. The height of the cone of maximum volume which can be inscribed in a s...

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  16. The semivertical angle of a cone of maximum volume and of given total ...

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  17. A conical tent of given capacity will require the least amount of canv...

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  18. The semivertical angle of the cone of maximum volume and of given slan...

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  19. If h is the height of the maximum cone inscribed in a sphere of radius...

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  20. The maximum volume of the right circular cone that can be inscribed in...

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