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Of all the closed cylindrical cans (r...

Of all the closed cylindrical cans (right circular), of a given volume of 100 cubic centimetres, find the dimensions of the can which has the minimum surface area?

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The correct Answer is:
radius`= ((50)/(pi))^((1)/(3))` cm and height = 2 `((50)/(pi))^((1)/(3))`cm
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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.5
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  10. Show that of all the rectangles inscribed in a given fixed circle, ...

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  11. Show that the right circular cylinder of given surface and maximum ...

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  12. Of all the closed cylindrical cans (right circular), of a given vol...

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

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

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

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

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  17. Show that semi-vertical angle of right circular cone of given surface...

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  18. The point on the curve x^2=2ywhich is nearest to the point (0, 5) is(A...

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  19. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2)is(...

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  20. The maximum value of [x(x-1)+1]^(1/3),0lt=xlt=1is(A) (1/3)^(1/3) (B) ...

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