Show that a cylinder of a given volume w...

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

Text Solution

AI Generated Solution

Topper's Solved these Questions

EXAM REVISION SERIES
XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the total surface area of a cone, if its slant height is 9m and the radius of its base is 12m.

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

Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.

The slant height of a cone is 13 cm and its total surface area is 90pi cm^(2) . Find its radius of base.

Write the ratio of total surface area to the surface area of a cylinder of radius r\ and height h

A closed cylinder has volume 2156c m^3 . What will be the radius of its base so that its total surface area is minimum?

The volume of right circular cylinder is the same numerical as its total surface area .Find the smallest integral value for the radius of the cylinder .

Find the rate of change of the total surface area of a cylinder of radius r and height h , when the radius varies.

A cuboid has total surface area of the 40\ m^2 and its lateral surface area is 26\ m^2 . Find the area of its base.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions

Write the projection of vector hat i+ hat j+ hat k along the vector ...
Text Solution
|
Evaluate : int0^pi(xtanx)/(secx+tanx)dx
Text Solution
|
Show that a cylinder of a given volume which is open at the top has...
Text Solution
|
Find the area of the smaller region bounded by the ellipse (x^2)/9+(y^...
Text Solution
|
Write the value of cos^(-1)(-1/2)+2sin^(-1)(1/2)
Text Solution
|
Let R="{("a , a^3")":a is a prime number less than 5} be a relation. F...
Text Solution
|
Evaluate : int0^(pi/4)tanxdx
Text Solution
|
Evaluate : int(dx)/(sin^2xcos^2x)
Text Solution
|
If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...
Text Solution
|
If (a+4 3b8-6)=(2a b+2 8a-8b), write the value of a-2bdot
Text Solution
|
Show that vec(a), vec(b), vec(c ) are coplanar if and only if vec(a) +...
Text Solution
|
Five cards are drawn one by one, with replacement, from a well shuf...
Text Solution
|
Find the intervals in which the function f(x)=3/2x^4-4x^3-45 x^2+51 is...
Text Solution
|
Find the approximate value of f(3. 02), upto 2 places of decimal, whe...
Text Solution
|
Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3
Text Solution
|
Solve for x : cos(tan^(-1)x)=sin(cot^(-1)\ 3/4)
Text Solution
|
Solve the differential equation (x^2-y)dy+(y^2+x^2y^2)dx=0, given t...
Text Solution
|
Solve the differential equation (dy)/(dx)+ycotx=2cosx , given that ...
Text Solution
|
Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(...
Text Solution
|
Let f:W->W , be defined as f(x)=x-1 , if x is odd and f(x)=x+1 , if x ...
Text Solution
|