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

APPLICATIONS OF DERIVATIVES
BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE (Multiple choice questions)|3 Videos
APPLICATION OF INTEGRALS
BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos
CONTINUITY AND DIFFERENTIABILITY
BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 time the radius of the base.

Show that the height of a closed right-circular cylinder of given volume and least surface area is equal to its diameter.

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

Show that a cylinder of given volume, open at the top, has minimum total surface area if its height is equal to radius of the base.

Show that the height of the cylinder, open at the top of given surface area and greatest volume is equal to the radius of its base.

The diameter of a right circular cone is 4 cm and its volume is 48pi cm^3 . What is its height ?

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

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE

Find the intervals in which the function f(x)=6+12x+3x^(2)-2x^(3) is s...
Text Solution
|
Find the points on the curve y=x^(3) at which slope of tangent is equa...
Text Solution
|
Show that the right circular cylinder of given surface and maximum vol...
Text Solution
|
Find the equation of tangent to the curve y = x^3 - 2x^2 - 2x at which...
Text Solution
|
Find the point on the curve y=x^(3)-2x^(2)-2x at which the tangent lin...
Text Solution
|
Find the equation of the tangent line to the curve x^2 + 3y =2 which i...
Text Solution
|
Find the point on the curve x^2 = 4y which is nearest to the point (-1...
Text Solution
|
Find the interval in which the function f(x)=10-6x-2x^(2) is strictly ...
Text Solution
|
Find a point on the curve y = (x - 2)^2 at which the tangent is parall...
Text Solution
|
Find points at which the tangent to the curve y = x^3-3x^2-9x+7 is par...
Text Solution
|
Use differentials to find the approximate values of the following (8...
Text Solution
|
Find the slope of the tangent of the curve y = x^2-3x+2 at the point w...
Text Solution
|
Evaluate int(x)/sqrt(x-1)dx
Text Solution
|
Find two positive numbers whose sum is 16 and whose sum of cubes is mi...
Text Solution
|
Find the maximum profit that a company can make of the profit function...
Text Solution
|
Find the equation of normal to the curve, y = .x^3 at the point (1,1).
Text Solution
|
Using differentials, find the approximate value of sqrt 49.5.
Text Solution
|
Find points at which the tangent to the curve y = x^3-3x^2-9x+7 is par...
Text Solution
|
A wire of length 28 m is to be cut into two pieces, one of the pieces ...
Text Solution
|
A square sheet of tin of size 24 cm is to be made into a box without t...
Text Solution
|