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?

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Let r and h be the radius and height of the cylinder respectively. Then, volume (V) of the cylinder is given by, Surface area (S) of the cylinder is given by, ∴By second derivative test, the surface area is the minimum when the radius of the cylinder is. Hence, the required dimensions of the...
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Let r and h be the radius and height of the cylinder respectively. Then, volume (V) of the cylinder is given by, Surface area (S) of the cylinder is given by, ∴By second derivative test, the surface area is the minimum when the radius of the cylinder is. Hence, the required dimensions of the can which has the minimum surface area is given by radius = and height = read less
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Related Questions

For all real values of x, the minimum value of  is

(A) 0 (B) 1

(C) 3 (D)

Let ∴By second derivative test, f is the minimum at x = 1 and the minimum value is given by . The correct answer is D.
Chiranjeevi
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