Home
Class 12
MATHS
Show that the height of the cylinder of ...

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - I (VERY SHORT ANSWER TYPE QUESTIONS )|4 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - I (SHORT ANSWER TYPE QUESTIONS )|4 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Find the altitude of a right circular cylinder of maximum volume inscribed in a sphere of radius r.

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is cos^(-1) (1)/(sqrt(3)) .

Show that the radius of the right cicular cylinder of greatest curved surface that can be inscribed in a given cone is half the redius of the base of the cone.

Show that the semi-vertical angle of a right circular cone of minimum volume that circumscribes a given sphere is sin^(-1) (1/3) .

The maximum proportion of available volume that can be filled by hard spheres in diamond is: