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Of all the cylinders with given surface ...

Of all the cylinders with given surface area, show that the volume is maximum when height is equal to the diameter of the base .

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Consider the function f(x)=x^2 in [-2,1] Find the local maximum or min...

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  2. Consider the function f(x)=x^2 in [-2,1] Find the absolute maximum and...

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  3. Of all the cylinders with given surface area, show that the volume is ...

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  4. Sand is pouring from a pipe at the rate of 12 cm^3 / s. The falling sa...

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  5. If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...

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  6. Two equal sides of an isosceles triangle with fixed base 'a' are decre...

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  7. Consider the function f(x)=(x+1)^3(x-3)^3 Find f'(x).

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  8. Consider the function f(x)=(x+1)^3(x-3)^3 Find critical points of f(x)...

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  9. Find the intervals in which the function f(x)=(x+1)^3(x-3)^3 strictly ...

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  10. Find the point on the curve y=x^3-11x+5 at which the tangent is y=x-11

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  11. Prove that the volume of the largest cone that can be inscribed in a s...

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  12. A ladder 5m long is leaning against a wall. The bottom of the ladder i...

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  13. An open box is made by removing squares of equal size from the corners...

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  14. An open box is made by removing squares of equal size from the corners...

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  15. What is the slope of the tangent and normal at (1,1) on the curve y=x^...

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  16. A water tank is in the shape of a right circular cone with its axis ve...

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  17. A water tank is in the shape of a right circular cone with its axis ve...

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  18. Find the interval in which the function x^3-6x^2+9x+15 is increasing.

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  19. A window is in the form of a rectangle surmounted by a semicircle as s...

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  20. A window is in the form of a rectangle surmounted by a semicircle as s...

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