Prove that the volume of the largest co...

Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is `8/(27)`of the volume of the sphere.

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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.5

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It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...
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Find the maximum and minimum values of the function f(x) = x+ sin 2x, ...
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Find two positive numbers whose sum is 16 and the sum of whose cube...
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A square piece of tin of side 18 cm is to be made into a box withou...
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A rectangular sheet of tin 45 cm by 24 cm is to be made into a box ...
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Show that of all the rectangles inscribed in a given fixed circle, ...
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Show that the right circular cylinder of given surface and maximum ...
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Of all the closed cylindrical cans (right circular), of a given vol...
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A wire of length 28 m is to be cut into two pieces. One of the piec...
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Prove that the volume of the largest cone that can be inscribed in a ...
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Show that the semi-vertical angle of the cone of the maximum volume a...
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Show that semi-vertical angle of right circular cone of given surface...
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The point on the curve x^2=2ywhich is nearest to the point (0, 5) is(A...
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For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2)is(...
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The maximum value of [x(x-1)+1]^(1/3),0lt=xlt=1is(A) (1/3)^(1/3) (B) ...
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