Show that the right circular cylinder of...

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.

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
NCERT TAMIL|Exercise EXERCISE 6.6|24 Videos
APPLICATION OF DERIVATIVES
NCERT TAMIL|Exercise EXERCISE 6.4|23 Videos
APPLICATION OF INTEGRALS
NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

CSA of a right circular cylinder___

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

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.

The height of a right circular cylinder of maxium volume inscirbed in a sphere of radius 3 is

The C.S.A of a right circular cylinder of equal radius and height is ……… the area of its base.

A tent is in the shape of a right circular cylinder surmounted by a cone. The total height and the diameter of the base are 13.5m and 28m. If the height of th cylindrical portion is 3m, Find the total surface area of the tent.

The curved area of a right circular cylinder whose radius is a units and height is b units, is equal to ………. .

The total surface area of a solid right circular cylinder whose radius is helf of its height h is equal of ………. Sq.units.

In a right circular cylinder the axis is ……. to the diameter.

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.5

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