## Question

### Solution

Correct option is

1/2

Volume cylinder = π r2 h = constant; then let r2 h = k           or Area of metal sheet used = π r2 + 2πrh

(top)         (curved)

A (rh) = π r2 + 2πrh     A is min at   #### SIMILAR QUESTIONS

Q1

The chord joining the points where x = p and x = q on the curve ax2 + bx + c is parallel to the tangent at the point on the curve whose abscissa is

Q2

If the tangent at (1, 1) on y2 = x (2 – x)2 meets the curve again at P, then is

Q3

The distance between the origin and the normal to the curve

y = e2x + x2 at x = 0 is

Q4

If the line ax + by + c = 0 is a normal to the curve xy = 1 then

Q5

The point of intersection of the tangents drawn to the curve x2y = 1 – y at the points where it is meet by the curve xy = 1 – y is given by

Q6

The slope of the normal at the point with abscissa x = –2 of the graph of the function f (x) = | x2 – x | is

Q7

The tangent to the graph of the function y = f (x) at the point with abscissax = 1 form an angle of π/6 and at the point x = 2 an angle of π/3 and at the point x = 3 an angle of π/4. The value of Q8

The equations of the tangents to the curve y = x4 from the point (2, 0) not on the curve, are given by

Q9

The value of parameter a so that line (3 – ax + ay + (a2n – 1) = 0 is normal to the curve xy = 1, may lie in the interval

Q10

The critical points of the function f (x) where 