Prove that the radius of the right circu...

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

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

Show that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 of the diameter of the sphere.

The ratio of the radius and slant height of a right circualr cone 4:7 . If the curved surface area of the cone be 792 sq-cm, then will be the volume of the cone ?

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 4/(27)pih^3tan^2alphadot

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.

The diameter of the base of a right circular cone is 6 cm and height is 4 cm . Then the curved surface area of the cone is

The base radius of a right circular cylinder and a cone are equal and the ratio of their volume is 3:2. Prove that the height of the cone is twice the height of the cylinder.

Find the cylinder of maximum volume which can be inscribed in a cone of height h and semivertical angle alpha .

A sphere is inscribed in a right circular cylinder . Prove that the total surface area of the sphere is equal to the curved surface area of the cylinder .

UNITED BOOK HOUSE-SET 18-EXERCISE

The temperature T of a cooling object drops at a rate proportional to ...
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If veca,vecb are unit vectors and theta be the angle between them show...
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If with reference to the right handed system of mutually perpendicular...
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Evaluate : underset(nrarrinfty)Lt[(1)/(sqrt(n^2 - 1^2)) + 1/(sqrt(n^...
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Evaluate : overset(log5)underset(0)int (e^xsqrt(e^x-1))/(e^x + 3 ) dx
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A random variable X has the following probability function: Calculate...
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A random variable X has the following probability function: Find P(x ...
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A random varible x has the following probability function: the va...
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Six coins are tossed at a time. Find the probability of occring not mo...
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In a certain culture the number of bacteria at any instant increases a...
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Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...
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Prove that the radius of the right circular cylinder of greatest curve...
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choose the correct alternative :(ii) state which of the foll. Is the v...
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If A^t is the transporse of a square matrix A, then,
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If d/dx ((1+x^2 + x^4)/(1+x+x^2)) = ax + b , then the values of a and ...
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The rate average change of the function y = x^2 between x = 1 and x = ...
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veca = 3hati + 3hatj - hatk and vecb = 2hati + 6hatj + mhatk are perp...
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The straihgt line (x-4)/(3) = (y-2)/(1) = (z-1)/(0) is
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A and B give examination for two empty posts. If the probability of th...
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The variance of a binomial distribution with parameters n and p is-
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