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Show that the height of the cylinder, op...

Show that the height of the cylinder, open at the top of given surface area and greatest volume is equal to the radius of its base.

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BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-ASSIGNMENT (SECTION VII) (Long Answer Type Questions)
  1. Find two positive numbers whose sum is 32 and product is large as poss...

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  2. Find two numbers x and y such that x+y=15andx^(2)y^(3) is maximum.

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  3. Find two positive numbers whose sum is 24 and their sum of squares is ...

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  4. Find two positive numbers x and y such that x+y=36andxy^(3) is maximum...

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  5. Find two positive numbers whose sum is 14 and sum of squares is minimu...

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  6. Find the area of the largest rectangle having the perimeter 200 cm.

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  7. Find the rate of change of the area of a circle with respect to its ra...

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  8. Find the point on the curve x^(2)=8y which is nearest to the point (2,...

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  9. A figure consists of a semi-circle with a rectangle on its diameter. G...

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  10. A window consists if a semi-circle with a rectangel on its diameter. I...

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  11. A square piece of tin of side 18 cm is to be made into a box without t...

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  12. Show that the surface area of a closed cuboid with surface base and gi...

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  13. Find two positive numbers whose sum is 14 and their sum of squares is ...

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  14. Show that the height of the cylinder, open at the top of given surface...

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  15. Find the rate of change of the area of the circle with respect to its ...

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

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  17. Show that height of the cylinder of greatest volume which can be inscr...

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  18. The radius of the circle is increasing at the rate of 0.7 cm/s . What ...

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  19. A balloon which always remain spherical has a variable radius. Find th...

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