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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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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Show that the height of the cylinder, open at the top of given surface...

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

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

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  4. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

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  5. The radius of a soap-bubble is increasing at the rate of 0.2cm/s. Find...

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

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  7. The radius of a circle is increasing uniformly at the rate of 4 cm per...

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  8. If the area of a circle increases uniformly, then show that the rate o...

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  9. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

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  10. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

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  11. The radius of spherical balloon is increasing at the rate 5 cm per sec...

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  12. The radius of a spherical soap bubble is increasing at the rate of 0.3...

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  13. A balloon, which always remains spherical, has a variable diameter 3/2...

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  14. A balloon, which always remains spherical on inflation, is being infla...

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  15. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

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  16. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

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  17. The volume of a cube is increasing at the rate of 7 cubic metre per se...

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  18. A particle moves along the curve y=4/(3)x^(3)+5. Find the points on th...

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  19. A particle move along the curve 6y = x^3 +2. Find the points on the cr...

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  20. The radius of a cylinder increases at the rate of 1 cm/s and its heigh...

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  21. The contentment obtained after eating X-units of a new dish at a trial...

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