Show that the height of the cylinder ...

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

Topper's Solved these Questions

MONOTONICITY MAXIMA AND MINIMA
ARIHANT MATHS ENGLISH|Exercise EXAMPLE|23 Videos
MONOTONICITY MAXIMA AND MINIMA
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|7 Videos
MATRICES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
PAIR OF STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

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

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius R is (4R)/3dot

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4R)/3dot Also find maximum volume in terms of volume of the sphere.

Show that the height of the right circular cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 16 cm.

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

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. Also, find maximum volume in terms of volume of the sphere.

Find the volume of the larges cylinder that can be inscribed in a sphere of radius r

Find the volume of the largest cylinder that can be inscribed in a sphere of radius r

Find the volume of the largest cylinder that can be inscribed in a sphere of radius rc mdot

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

ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)

Show that the height of the cylinder of maximum volume that can be ...
Text Solution
|
The least value of alpha in R for which 4ax^2+(1)/(x)ge1, for all xgt ...
Text Solution
|
The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is
Text Solution
|
Let f : R ->(0,oo) and g : R -> R be twice differentiable functions...
Text Solution
|
Let f:(0,oo)vecR be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , then ...
Text Solution
|
The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a loca...
Text Solution
|
A rectangular sheet of fixed perimeter with sides having their lengths...
Text Solution
|
A vertical line passing through the point (h, 0) intersects the ellips...
Text Solution
|
Let f,g and h be real-valued functions defined on the interval [0,1] b...
Text Solution
|
e total number of local maxima and local minima of the function f(x) =...
Text Solution
|
If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...
Text Solution
|
The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...
Text Solution
|
If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then
Text Solution
|
If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...
Text Solution
|
The length of the longest interval in which the function 3sinx-4sin^3x...
Text Solution
|
If f(x)=e^(1-x) then f(x) is
Text Solution
|
The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...
Text Solution
|
If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...
Text Solution
|
If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...
Text Solution
|
Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...
Text Solution
|
about to only mathematics
Text Solution
|