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Show that the volume of the greatest cyl...

Show that the volume of the greatest cylinder which can be inscribed in a cone of height h and semi-vertical angle `alpha,` is `(4)/(27) pi h^(3) tan^(2) alpha`.

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The correct Answer is:
`(4)/(27) pi h^(2) tah^(2) alpha`.
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OSWAAL PUBLICATION-APPLICATIONS OF DERIVATIVES-TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)
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  2. If the sum of the lengths of the hypotenues and a side of a right a...

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  3. The sum of the perimeters of a circle and a square is k , where k is s...

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

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

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

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

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

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

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

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

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

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

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  18. A wire of length 28m is to be cut into two pieces. One of the piece...

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  20. The lengths of the sides of an isosceles triangle are 9+x^2,9+x^2 and ...

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