Amongst all open (from the top) right ci...

Amongst all open (from the top) right circular cylindrical boxes of volume 125 `pi` `cm^3` , find the dimensions of the box which has the least surface area

Text Solution

AI Generated Solution

Topper's Solved these Questions

SAMPLE PAPER 2019
XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

Similar Questions

Explore conceptually related problems

Amongst all open (from the top) right circular cylindrical boxes of volume 125pi cm^3 , find the dimensions of the box which has the least surface area

Of all the closed cylindrical cans (right circular), of a given volume of 100 cubic centimetres, find the dimensions of the can which has the minimum surface area?

A closed right circular cylinder has volume 539/2 cubic units. Find the radius and the height of the cylinder so that the total surface area is minimum.

If the volume of a cube is 125 cm^(3) , then its surface area is

The diameter of the base of a right circular cylinder is 42cm and its height is 10cm. Find the area of the curved surfaces and total surface area.

(i) The area of base of a right circular cone is 60 cm^(2) and its volume is 200 cm^(3) . Find the height of the cone.

A frustum of a right circular cone has a diameter of base 20 cm, of top 12 cm, and height 3 cm. Find the area of its whole surface and volume.

The area of the base of a right circular cylinder is 42pi cm^(2) and height is 3.5 cm. Find its volume.

The perimeters of the ends of a frustum of a right circular cone are 44 cm and 33 cm. If the height of the frustum be 16 cm, find its volume, the slant surface area and the total surface area.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions

If A is a non- singular square matrix of the order 3xx3 such that A^2=...
Text Solution
|
If P(1,0,-3) is the foot of the perpendicular from the origin to the p...
Text Solution
|
If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...
Text Solution
|
Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx
Text Solution
|
Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...
Text Solution
|
If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)
Text Solution
|
A cottage industry manufactures pedestal lamps and wooden shades.Both ...
Text Solution
|
Amongst all open (from the top) right circular cylindrical boxes of vo...
Text Solution
|
If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)), prove that dy/dx = (x+y)/...
Text Solution
|
If y=e^{a\cos ^{-1}x},-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/...
Text Solution
|
Find f'(x) if f(x) = tan x^(tan x)
Text Solution
|
Amongst all open (from the top) right circular cylindrical boxes of vo...
Text Solution
|
the domain of the function f(x) = sin^(-1) (2x) is (a) [0,1] (b) ...
Text Solution
|
Using the method of integration find the area of the triangle ABC, ...
Text Solution
|
Find the angle between unit vector veca and vecb so that sqrt(3) veca ...
Text Solution
|
If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...
Text Solution
|
Form the differential equation representing the family of curves y = ...
Text Solution
|
If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)
Text Solution
|
Find f'(x) if f(x) = (tanx)^(tanx)
Text Solution
|
the interval in which the function f given by f(x) = x^2 e^(-x) is str...
Text Solution
|