Home
Class 12
MATHS
A cone is made from a circular sheet of ...

A cone is made from a circular sheet of radius `sqrt3` by cutting out a sector and giving the cut edges of the remaining piece together. The maximum volume attainable for the cone is (A) `pi/3` (B) `pi/6` (C) `(2pi)/3` (D) `3sqrt(3)pi`

A

`pi//3`

B

`pi//6`

C

`2pi//3`

D

`3 sqrt3 pi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s AIEEE/JEE Main Paper|65 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|45 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

A cone is made from a circular sheet of radius sqrt(3) by cutting out a sector and giving the cut edges of the remaining piece together.The maximum volume attainable for the cone is (A) (pi)/(3)(B)(pi)/(6) (C) (2 pi)/(3) (D) 3sqrt(3)pi

A cone is made from a circular sheet of radius sqrt(3) by cutting out a sector and keeping the cut edges of the remaining piece together. If the maximum volume attainable for the cone is (p pi)/(q) .(where p/q is in its lowest form).Then the value of p+q is

cos^-1 {-sin((5pi)/6)}= (A) - (5pi)/6 (B) (5pi)/6 (C) (2pi)/3 (D) -(2pi)/3

If slant height of a right circular cone is 3 cm then the maximum volume of cone is (a) 2sqrt(3) pi cm^(3) (b) 4sqrt(3) pi cm^(3) (c) (2+sqrt(3)) pi cm^(3) (d) (2-sqrt(3)) pi cm^(3)

From a circular piece of cardboard of radius 3cm two sectors of 90^(@) have been cut off.Find the perimeter of the remaining portion nearest hundredth centimeters (Take pi=(22)/(7))

cot^(-1)(-sqrt3)= (a) -pi/6 (b) (5pi)/6 (c) pi/3 (d) (2pi)/3

A sphere and a cone are of same radii and height,if the volume of sphere is (88)/(21)cm^(3) then the curved surface area of cone is (A) pi sqrt(2) (B) pi sqrt(5) (C) pi sqrt(7) (D) pi sqrt(11)

If |veca.vecb|=sqrt(3)|vecaxxvecb| then the angle between veca and vecb is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2

Find the value of tan^(-1)sqrt(3)+sec^(-1)2 (A). (2 pi)/(3) (B). (pi)/(2) (C). (pi)/(3) (D) pi

sin^-1 (cos(sin^-1(sqrt(3)/2))= (A) pi/3 (B) pi/6 (C) - pi/6 (D) none of these

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If f(x)=x e^(x(1-x)), then f(x) is

    Text Solution

    |

  2. If f(x)={(x^(alpha)logx , x > 0),(0, x=0):} and Rolle's theorem is ap...

    Text Solution

    |

  3. A cone is made from a circular sheet of radius sqrt3 by cutting out a ...

    Text Solution

    |

  4. The dimension of the rectangle of maximum area that can be inscrib...

    Text Solution

    |

  5. Consider f(x)=ax^(4)+cx^(2)+dx+e has no point o inflection Then which ...

    Text Solution

    |

  6. The smallest value of M such that |x^2-3x+2| leq M for all x in [1,5/2...

    Text Solution

    |

  7. The point in the interval [0, pi] for which the curve y =(1//2)x and y...

    Text Solution

    |

  8. The points at which the tangents to the curve ax^(2) + 2hxy + by^(2) =...

    Text Solution

    |

  9. If the point on y = xtanalpha -(ax^2)/(32cos^2alpha),(alpha > 0) where...

    Text Solution

    |

  10. Let f(x) = {(|x-1|+ a",",x le 1),(2x + 3",",x gt 1):} . If f(x) has lo...

    Text Solution

    |

  11. Let g(x) = int(0)^(x) f(t) dt and f(x) satisfies the equation f(x +y) ...

    Text Solution

    |

  12. The area of the triangle formed by the positive x-axis with the norma...

    Text Solution

    |

  13. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

    Text Solution

    |

  14. Angle at which the circle x^2+y^2=16 can be seen from (8, 0) is

    Text Solution

    |

  15. The critical points of the function f(x) = (x +2)^(2//3) (2x-1) are

    Text Solution

    |

  16. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

  17. A rectangle with perimeter 32 cm has greatest area if its length is

    Text Solution

    |

  18. The greatest vaue of the function f(x) = cot^(-1) x + (1//2) log x ...

    Text Solution

    |

  19. A particle is moving along the parabola y^(2) = 4(x+2). As it passes t...

    Text Solution

    |

  20. The perimeter of a rectangle is fixed at 24cm. If the length l of the ...

    Text Solution

    |