Home
Class 12
MATHS
Show that the right circular cylinder, o...

Show that the right circular cylinder, open at the top, and of given surface area and maximum volume is such that its height is equal to the radius of the base.

Promotional Banner

Topper's Solved these Questions

  • SELF ASSESSMENT PAPER 2

    ICSE|Exercise SECTION-B|10 Videos

  • SELF ASSESSMENT PAPER 2

    ICSE|Exercise Section - C|12 Videos

  • SELF ASSESSMENT PAPER 10

    ICSE|Exercise SECTION B|3 Videos

  • SELF ASSESSMENT PAPER 9

    ICSE|Exercise SECTION C|10 Videos

Similar Questions

Explore conceptually related problems

Show that the radius of closed right circular cylinder of given surface area maximum volume is equal to half of its height.

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

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

Show that semi-vertical angle of right circular cone of given total surface area and maximum volume is sin^(-1)""(1)/(3) .

Show that a cylinder of a given volume which is open at the top has minimum total surface area, when its height is equal to the radius of its base.

Show that a cylinder of a given volume which is open at the top has minimum total surface area, when its height is equal to the radius of its base.

Show that right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

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

The volume of right circular cylinder is the same numerical as its total surface area .Find the smallest integral value for the radius of the cylinder .

Find the (i) curved surface area (ii) total surface area and (iii) volume of a right circular cylinder whose height is 15cm and the radius of the base is 7cm.