# Solution - 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. - Maxima and Minima

Account
Register

Share

Books Shortlist

#### Questions

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

Show that the altitude of a right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4r)/3 . Also, show that the maximum volume of the cone is 8/27  of the volume of the sphere.

#### Solution

You need to to view the solution
Is there an error in this question or solution?

#### Similar questions VIEW ALL

If the sum of lengths of hypotenuse and a side of a right angled triangle is given, show that area of triangle is maximum, when the angle between them is π/3.

view solution

Find the approximate value of cos (89°, 30'). [Given is: 1° = 0.0175°C]

view solution

Show that the height of the cylinder of maximum volume, which can be inscribed in a sphere of radius R is (2R)/sqrt3.  Also find the maximum volume.

view solution

Examine the maxima and minima of the function f(x) = 2x3 - 21x2 + 36x - 20 . Also, find the maximum and minimum values of f(x).

view solution

An open box is to be made out of a piece of a square card board of sides 18 cms. by cutting off equal squares from  the comers and tumi11g up the sides. Find the maximum volume of the box.

view solution

#### Reference Material

Solution for question: 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. concept: Maxima and Minima. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science), 12th HSC Arts, 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General) , 12th ISC (Arts), 12th ISC (Commerce), 12th ISC (Science), PUC Karnataka Science
S