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The maximum volume of the right circular...

The maximum volume of the right circular cone that can be inscribed in a sphere of radius R

A

`(32)/(27)pi R^3` cubic units

B

`(32)/(81) pi R^3` cubic unit

C

`85 pi R^3` cubic unit

D

none

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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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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  14. The height of the cylinder of maximum volume which can be inscribed i...

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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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