Home
Class 12
MATHS
Show that the cone of the greatest volum...

Show that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 of the diameter of the sphere.

A

`2//3`

B

`3//4`

C

`1//3`

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET(3) (TRUE AND FALSE )|8 Videos
  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET(3) (FILL IN THE BLANKS )|8 Videos
  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET (2) (TRUE AND FALSE )|1 Videos
  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos
  • MEASURES OF CENTRAL TENDENCY

    ML KHANNA|Exercise ASSERTION / REASON|1 Videos

Similar Questions

Explore conceptually related problems

Show that the cone of greatest volume which can be inscribed in a given sphere is such that three times its altitude is twice the diameter of the sphere. Find the volume of the largest come inscribed ina sphere of radius R.

The height of the cylinder of the greatest volume that can be inscribed in a sphere of radius 3 is

The altitude of a cylinder of the greatest possible volume which can be inscribed in a sphere of radius 3 sqrt3 is

The height of the cylinder of maximum volume which can be inscribed in a sphere of radius 3cm is

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

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

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