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` times the radius of the base.

Topper's Solved these Questions

A Gift paper from the publishers
JMD PUBLICATION|Exercise Example|52 Videos
APPLICATION OF INTEGRATION
JMD PUBLICATION|Exercise EXAMPLE|7 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 time 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.

The curved surface area of a cone is 308 cm^2 and its slant height is 14 cm. The radius of its base is :

Show that the curved surface of a right circualr cylinder inscribed in a right circular cone is maximum when the radius of its base is half that of the cone.

JMD PUBLICATION-Appilications of Derivative-Exercise

Statement True/ False: br If f(x) gt 0 then the function f(x) is said ...
Text Solution
|
Find a point on the parabola f(x) = (x - 3)^2, where the tangent is pa...
Text Solution
|
Show that the function f(x) = x^3 - 6x^2 +12x +8 is an increasing on R...
Text Solution
|
At what points on the curve x^2 + y^2 - 2x -4y +1 = 0 is the tangent p...
Text Solution
|
Show that the tangents to the curve y = 2x^3-4 at the points x = 2 and...
Text Solution
|
Find the approximate value of f(2.01) where f(x) = 4x^2+ 5x +2.
Text Solution
|
The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...
Text Solution
|
If side of a square is increasing at the rate of 1.5 cm/sec, then the ...
Text Solution
|
The radius of a sphere is measured as 9 cm with an error of 0·03 cm, t...
Text Solution
|
The side of an equilateral triangle is increasing at the rate of 2 cm/...
Text Solution
|
Find the least value of a so that the function f(x) = x^2 + ax + 1 is ...
Text Solution
|
Using differentials, find the approximate value of 82^1/4 upto 3 place...
Text Solution
|
The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...
Text Solution
|
The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...
Text Solution
|
Find the rate of change of the area of a circle with respect to its ra...
Text Solution
|
The total revenue in Rupees received from its sale of x units of a pro...
Text Solution
|
Show that the height of the cylinder of greatest volume which can be i...
Text Solution
|
Show that the right circular cone of least curved surface and given vo...
Text Solution
|
Prove that volume of largest cone, which can be inscribed in a sphere,...
Text Solution
|
Find the local maxima and local minima, of the function f(x) = sin x -...
Text Solution
|