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Prove that volume of largest cone, which...

Prove that volume of largest cone, which can be inscribed in a sphere, is `(8/27)^(th)` part of volume of sphere.

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PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. Of all the closed cylindrical cans (right circular), of a given volume...

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  2. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

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  3. Prove that volume of largest cone, which can be inscribed in a sphere,...

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  4. Show that the right circular cone of least curved surface and given vo...

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  5. Show that the semi-vertical angle of the right-circular cone of maximu...

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

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  7. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

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

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  9. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

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  10. Using differentials, find the approximate value of the following: (17/...

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  11. Using differentials, find the approximate value of the following: 33^...

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  12. Show that the function given by f(x) = (logx)/x has maximum at x=e

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  13. The two equal sides of an isosceles triangle with fixed base b are dec...

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  14. Find the equation of the normal to curve x^2 = 4y which passes through...

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  15. Show that the normal at any point theta to the curve x = a cos theta +...

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  16. Find the intervals in which the function f given by f(x) = sinx + cosx...

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  17. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

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  18. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

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  19. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

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  20. Find the maximum area of an isosceles triangle inscribed in the ellips...

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