Home
Class 12
MATHS
Show that the radius of the right cicula...

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.

Text Solution

Verified by Experts

The correct Answer is:
`rArr" "r = (r_(1))/(2)` = half of radius of cone.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - V (VERY SHORT ANSWER TYPE QUESTIONS )|6 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - V (SHORT ANSWER TYPE QUESTIONS )|19 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - IV (SHORT ANSWER TYPE QUESTIONS )|17 Videos
  • AREA UNDER PLANE CURVES

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

Similar Questions

Explore conceptually related problems

Shows that the triangle of greatest area that can be inscribed in a circle is equilateral.

Show that the right circular cone of least curved surface area and given volume has an altitude equal to sqrt(2) times the radius of the base.

Show that the rectangle of maximum area that can be inscribed in a given circle is a square.

Show that the height of a closed right circular cylinder of given surface and maximum volume is equal to diameter of base.