Prove that the volume of the largest con...

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 BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.5

Find the maximum value of 2x^(3) – 24x + 107 in the interval [1, 3]. F...
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It is given that at x = 1, the function x^(4) – 62x^(2) + ax + 9 attai...
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Find the maximum and minimum values of x + sin 2x on [0, 2pi].
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Find two numbers whose sum is 24 and whose product is as large as poss...
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Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...
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Find two positive numbers x and y such that their sum is 35 and the pr...
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Find two positive numbers whose sum is 16 and the sum of whose cubes i...
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A square piece of tin of side 18 cm is to be made into a box without t...
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A rectangular sheet of tin 45 cm by 24 cm is to be made into a box wit...
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Show that of all the rectangles inscribed in a given fixed circle, the...
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Show that the right circular cylinder of given surface and maximum vol...
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Of all the closed cylindrical cans (right circular), of a given volume...
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A wire of length 28 m is to be cut into two pieces. One of the pieces ...
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Prove that the volume of the largest cone that can be inscribed in a s...
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Show that the right circular cone of least curved surface and given vo...
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Show that the semi-vertical angle of the cone of the maximum volume an...
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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) = 2y which is nearest to the point (0, 5)...
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For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2))...
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The maximum value of [ x(x-1)+1]^((1)/(3)) , 0 lt= x lt= 1 is
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