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Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is `2R/sqrt(3)` . Also find maximum volume.

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A DAS GUPTA-Maxima and Minima-EXERCISE
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  2. A box without lid having maximum volume is made out of square metal sh...

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  3. Show that the height of the cylinder of maximum volume that can be ins...

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  4. Show that the cone of the greatest volume which can be inscribed in a ...

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  5. Prove that the cone, circumscribing a sphere of radius r, has the mini...

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

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  8. A swimmer S is in the sea at a distance dk m from the closest point A ...

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  10. A factory D is to be connected by a road with a straight railway line ...

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  13. x and y be two variables such that xgt0 and xy=1. Then the minimum val...

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  14. The value of a so that the sum of the squares of the roots of the equa...

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  15. Twenty metres of wire is available for fencing off a flower-bed in ...

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  16. The total cost of making n pocket radios per day is Rs{(n^2)/4 +35n + ...

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  17. A telephone company in a town has 500 subscribers on its list and c...

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  18. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

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  19. Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^...

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  20. A right cylindrical vessel of a given capacity is formed using least p...

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