Show that the height of a cylinder of gi...

Show that the height of a cylinder of given total surface area and open at the top has maximum volumes is equal to the radius of its base .

Topper's Solved these Questions

MAXIMA AND MINIMA
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination A|5 Videos
MAXIMA AND MINIMA
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination B|5 Videos
MAXIMA AND MINIMA
CHHAYA PUBLICATION|Exercise EXERCISE Short Answer Type Questions|42 Videos
MATHEMATICAL REASONING
CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos
MCQ ZONE
CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

Similar Questions

Explore conceptually related problems

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.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))

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 .

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is sin^(-1) ((1)/(3)) .

The numerical values of total surface area and volume of a hemisphere are same. Find the length of its base radius.

The height of the cylinder of maximum volume that can be inscribed in a sphere of radius a, is-

If the radius of a cylinder is doubled keeping its lateral surface area the same, then what is its height ?

The radius and height of a cone is r unit . The total surface area of a sphere area of a sphere of diameter equal to the slant height of the will be ………. sq - unit

CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Long Answer Type Questions

A particle moves in a straight line such that its distance x from a f...
Text Solution
|
A cylindrical tin can open at the top , of a given capacity has to be...
Text Solution
|
Show that the height of a cylinder of given total surface area and o...
Text Solution
|
The length of the hypotenuse of a right angled triangle is a Find the ...
Text Solution
|
The length of the hypotenuse of a right angled triangle is a Find the ...
Text Solution
|
A box with square top and bottom is to be made to contain 250 cm^(3) M...
Text Solution
|
A firm produces x units of output per week at a total cost of Rs. ((1)...
Text Solution
|
A radio manufacturer produces x sets per week at a total cost of Rs. (...
Text Solution
|
Prove that the triangle of maximum area that can be incsribed in a giv...
Text Solution
|
A figure consists of a semi - circle with a rectangle on its diameter...
Text Solution
|
Show that the height of the cylinder of maximum volume that can be in...
Text Solution
|
An open box with a square base is to be made out of a given quantity o...
Text Solution
|
A wire of length 28 m is to be cut into two pieces . One of the pieces...
Text Solution
|
A closed right circular cylinder has volume 2156cm^(3) . What will be...
Text Solution
|
Show that the height of the cone of maximum volume that can be inscrib...
Text Solution
|
Show that the surface area of a closed cuboid with square base and giv...
Text Solution
|
Manufacturer can sell x items at a price of Rs. (5-(x)/(100)) each . T...
Text Solution
|
Show that the maximum volume of the cylinder which can be inscribed in...
Text Solution
|
An open box is to be made out of a piece of cardboard measuring (24cmx...
Text Solution
|
If the sum of the lengths of the hypotenuse and another side of a righ...
Text Solution
|