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

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

A right circular cone of height 4cm has a curved surface area 47.1cm^(2)

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4r)/(3) .

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius R is (4R)/(3) .

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

Curved (Lateral) Surface area of Right Circular Cylinder

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. Show that the cone of the greatest volume which can be inscribed in a ...

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

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

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  4. A tree trunk I metres long, is in the shape of a frustum of a cone, th...

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

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  6. A private telephone company serving a small community makes a profit o...

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

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  8. Fill in the blanks. f(x) =x^2 +ax^-1 will have a minimum at x=2 if a =

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  9. What is the area of the largest triangle that can be inscribed in a se...

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

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

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

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

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

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

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

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

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  18. Let f(x) =(x-1)^p.(x-2)^q where p > 1, q > 1. Each critical point of f...

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  19. The point (0, 3) is closest to the curve x^2 = 2y at

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  20. For the function f(x)=xe^x, the point

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