Show that the right circular cone of lea...

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

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
PSEB|Exercise Exercise|189 Videos
APPLICATION OF INTEGRALS
PSEB|Exercise Exercise|38 Videos
CONTINUITY AND DIFFERENTIABILITY
PSEB|Exercise Exercise|151 Videos

Similar Questions

Explore conceptually related problems

Show that the 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 cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base.

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

Show that the height of a closed right-circular cylinder of given volume and least surface area is equal to its diameter.

Prove that the radius of the right-circlar cylinder of greatest curved surface, which can be inscribed in a given cone, is half of that of the cone.

A cylinder and a right circular cone of hesimphere having the same base and same height. The volume of the cylinder is 3times the volume of the cone.

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

The area of the curved surface of a cone is 60 picm^2 . If the slant height of the cone be 8 cm, find the radius of the base.

PSEB-APPLICATION OF DERIVATIVES-Exercise

A wire of length 28 m is to be cut into two pieces, one of the pieces ...
Text Solution
|
Prove that volume of largest cone, which can be inscribed in a sphere,...
Text Solution
|
Show that the right circular cone of least curved surface and given vo...
Text Solution
|
Show that the semi-vertical angle of the right-circular cone of maximu...
Text Solution
|
Show that semi-vertical angle of right circular cone of given surface ...
Text Solution
|
The point on the curve x^2 = 2y which is nearest to the point (0,5) is...
Text Solution
|
For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:
Text Solution
|
The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:
Text Solution
|
Using differentials, find the approximate value of the following: (17/...
Text Solution
|
Using differentials, find the approximate value of the following: 33^...
Text Solution
|
Show that the function given by f(x) = (logx)/x has maximum at x=e
Text Solution
|
The two equal sides of an isosceles triangle with fixed base b are dec...
Text Solution
|
Find the equation of the normal to curve x^2 = 4y which passes through...
Text Solution
|
Show that the normal at any point theta to the curve x = a cos theta +...
Text Solution
|
Find the intervals in which the function f given by f(x) = sinx + cosx...
Text Solution
|
Find the intervals in which the function f given by f(x) = (4 sinx-2x-...
Text Solution
|
Find the intervals in which the function f given by f(x) = x^3 + (1/x^...
Text Solution
|
Find the intervals in which the function f given by f(x) = x^3 + (1/x^...
Text Solution
|
Find the maximum area of an isosceles triangle inscribed in the ellips...
Text Solution
|
A tank with rectangular base and rectangular sides, open at the top is...
Text Solution
|