Prove that the radius of the right-circl...

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

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
APPLICATION OF DERIVATIVES
OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
APPLICATION OF INTEGRALS
OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

Find the height of a right circular cylinder of maximum volume, which can be inscribed in a sphere of radius 9 cm.

Find the height of a right circular cylinder of maximum volume, which can be inscribed in a sphere of radius 8 cm .

Find the height of a-right circular cylinder of maximum volume, which can be inscribed in a sphere of radius 10 cm.

Show that the radius of right circular cylinder of maximum volume, that can be inscribed in a sphere of radius 30 cm, is 10sqrt6 cm.

Show that the radius of right circular cylinder of maximum volume, that can be inscribed in a sphere of radius 18 cm, is 6sqrt6 cm.

Show that the radius of right circular cylinder of maximum volume, that can be inscribed in a sphere of radius 24 cm, is 8sqrt6 cm.

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 pi h^3 tan^2 alpha

Show that the height of the circular cylinder of maximum volume that can be inscribed in a given right-circular cone of height h is 1/3 h

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 .

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Important Questions from (Miscellaneous Exercise )

Find the maximum profit that a company can make, if the profit functio...
Text Solution
|
Find both the maximum value and the minimum value of 3x^4-8x^3+12x^2-4...
Text Solution
|
Prove that the radius of the right-circlar cylinder of greatest curved...
Text Solution
|
Find the equation of the normals to the curve y = x^3+2x+6 which are ...
Text Solution
|
Find the equation of the tangent line to the curve y = x^2 - 2x + 7, w...
Text Solution
|
The two equal sides of an isosceles triangle with fixed base b are dec...
Text Solution
|
Show that the normal at any point theta to the curve x = a cos theta +...
Text Solution
|
Find the maximum area of an isosceles triangle inscribed in the ellips...
Text Solution
|
A window is in the form of a rectangle surmounted by a semi-circular o...
Text Solution
|
An open box with a square base is to be made out of a given iron sheet...
Text Solution
|
Show that the height of the cylinder of maximum volume that can be ins...
Text Solution
|
Show that semi-vertical angle of right circular cone of given surface ...
Text Solution
|
Using differentials, find the approximate value of ((17)/(81))^(1//4)
Text Solution
|
Find the intervals in which the function f given by f(x) = x^3 + (1/x^...
Text Solution
|
Find the intervals in which the function f given by f(x) = x^3 + (1/x^...
Text Solution
|
The length x of a rectangle is decreasing at the rate of 5 cm/minute a...
Text Solution
|
The length x of a rectangle is decreasign at the rate of 5 cm/min and ...
Text Solution
|
If the sum of the lengths of hypotenuse and a side of a right-angled t...
Text Solution
|
Manufacturer can sell x items at a price of rupees Rs(5-(x/100)) each...
Text Solution
|
Show that the right circular cone of least curved surface and given vo...
Text Solution
|