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Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

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The correct Answer is:
`(8)/(27)`
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OSWAAL PUBLICATION-APPLICATIONS OF DERIVATIVES-TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)
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  5. If the sum of the lengths of the hypotenues and a side of a right a...

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  7. Find the area of the greatest rectangle that can be inscribed in an...

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

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

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  10. Prove that the area of right-angled triangle of given hypotenuse is...

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  11. An open box, with a square base, is to be made out of a given quant...

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  12. Show that the height of a closed right circular cylinder of given s...

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  14. Find the point on the curve y^2= 2x which is at a minimum distance fro...

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  15. Show that the semi-vertical angle of the cone of the maximum volume a...

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  16. Show that all the rectangles with a given perimeter, the square has...

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  17. A window has the shape of a rectangle surmounted by an equilateral ...

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  19. Find the maximum area of an isosceles triangle inścribed in the ellip...

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