Home
Class 11
MATHS
Assertion (A) : For a cone, if r=6 cm, h...

Assertion (A) : For a cone, if r=6 cm, h=12 cm and `deltar=deltah=0.06` cm, then approximate error in volume is `3.6pi` c.c
Reason (R ) : cone valume `v=pir^(2)h` and error approximately, is `dv=pi.(2r.deltar).deltah` Choose the correct answer

A

A, R are true and `RimpliesA`

B

A, R are ture `RnegtA`

C

A is true, R is false

D

Both A, R are false

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|43 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|12 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|6 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Assertion (A) : If semi vertical angle of a cone is 45^(@) and height is 30.05 cm then approximate volume of cone is 9045.08 pi c.c Reason(R ): When semi vertical angle is 45^(@) approximate error in volume is deltav=pir^(2)deltah

Volume of cone if r = 2 cm, h = 4 cm is …………..

Assertion (A) : If the area of triangle formed by (0,0), (-1,2),(1,2) is 2 square units. Then the area triangle on shfting the origin to a point (2,3) is 2 units Reason (R) : By the change of axes area does not change Choose the correct answer

The volume of cone is 462 cm^(3), r=7 cm then h = ……. cm.

The radius and height of a cone are measured as 6 cm and 12 cm respectively and there is an error of 0.06 cm in both the measurements. The approximate ewrror in the volume of the cone is

The radius and height of a cone are measured as 6cms each by scale in which there is an error of 0.01 cm in each cm. Then the approximate error in its volume is

Observe the following statements I) If the radius of spherical ball is increased by 1/2% then approximate increase in volume is 1% II) In measuring the radius and height of a cone as 5cm,10cm there are errors 0.02 cm, 0.01cm ewspectively. Then error in volume approximately is 2.25pic.c Correct statement is

AAKASH SERIES-ERRORS AND APPROXIMATIONS-EXERCISE-I
  1. A circular hole of 4 mm in diameter and 12 mm deep in a metal block is...

    Text Solution

    |

  2. If there is an error 0.01 cm in the measurement of the radius 10 cm of...

    Text Solution

    |

  3. The radius and height of a cylinder are measured as 5 cm and 10 cm res...

    Text Solution

    |

  4. The radius of a closed cylinder is half of its height. If an error of ...

    Text Solution

    |

  5. If there is an error of 0.05 cm while measuring the side of an equilat...

    Text Solution

    |

  6. The semi vertical angle of a cone is 45^(@). The height of the cone is...

    Text Solution

    |

  7. If errors of 1% each are made in the base radius and height of a cylin...

    Text Solution

    |

  8. The approximate change in the total surface area of a right circular c...

    Text Solution

    |

  9. The radius and height of a cone are measured as 6 cm and 12 cm respect...

    Text Solution

    |

  10. If there is an error of 0.05 cm in the side of a cube 10 cm then the e...

    Text Solution

    |

  11. If there is an error of 1 % is made in the side of a cube then the per...

    Text Solution

    |

  12. If a, b, c are the sides of DeltaABC, inscribed in a given circle, th...

    Text Solution

    |

  13. If in a triangle the side a and the angle A remain constant, while oth...

    Text Solution

    |

  14. An electric current is measured by a tangent galvonometer, the current...

    Text Solution

    |

  15. The angle C of DeltaABC is found by measurement to be 47^(@) and the ...

    Text Solution

    |

  16. The focal length of a mirror is given by (1)/(v)-(1)/(u)=(2)/(f). If e...

    Text Solution

    |

  17. The percentage error in measuring the radius of a sphere is 1%. If S(1...

    Text Solution

    |

  18. In measuring the vertical angle of the sector of a circle of radius 30...

    Text Solution

    |

  19. Match the percentage error of the following and choose correct ansere

    Text Solution

    |

  20. Assertion (A) : For a cone, if r=6 cm, h=12 cm and deltar=deltah=0.06 ...

    Text Solution

    |