Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved area which can be inscribed in a given cone is half of that of the cone.

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Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4r)/(3) .

Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle alpha is one - third that of the cone and the greatest volume of cylinder is (4pi)/(27)h^(3) tan^(2)alpha .

Show that the right circular cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base.

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt(2) time the radius of the base.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its volume.

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.

Find the volume of right circular cone with radius 6 cm and height 7 cm.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its curved surface area.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm^(2) . Find the diameter of the base of the cylinder.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its area of base (or area of each end)

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK

Find local maximum and local minimum values of the function f given by...
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Find all the points of local maxima and local minima of the function f...
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Find two positive numbers whose sum is 15 and the sum of whose squares...
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Find the shortest distance of the point (0, c) from the parabola y=x^(...
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Let AP and BQ be two vertical poles at points A and B respectively. If...
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If length of three sides of a trapezium other than base are equal to 1...
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Prove that the radius of the right circular cylinder of greatest curve...
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Find the global maximum and minimum values of the function f given by ...
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Find absolute maximum and minimum values of a function f given by f(x...
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An Apache helicopter of enemy is flying along the curve given by y=x^(...
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A car starts from a point P at time t = 0 seconds and stops at point Q...
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A water tank has the shape of an inverted right circular cone with its...
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A man of height 2 metres walks at a uniform speed of 5 km/h away from ...
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Find the equation of the normal to the curve x^(2)=4y which passes thr...
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Find the equations of the tangent to the curve y=cos(x+y) which is par...
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Find intervals in which the function given by f(x)=(3)/(10)x^(4)-(4)/(...
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Show that the function f given by f(x)=tan^(-1)(sin x + cos x), x gt 0...
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A circular disc of radius 3 cm is being heated. Due to expansion, its ...
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An open topped box is to be constructed by removing equal squares from...
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Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each....
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