Home
Class 11
MATHS
The semi vertical angle of a cone is 45^...

The semi vertical angle of a cone is `45^(@)`. The height of the cone is 20.025 cm. The approximate lateral surface area is

A

`401pisqrt2sq.cm`

B

`60pisq.cm`

C

`3.6pisq.cm`

D

`9045pisq.cm`

Text Solution

Verified by Experts

The correct Answer is:
A
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

The semi vertical angle of a cone is 45^@ . The height of the cone is 30.05 cm. The approximately its volume is

The semivertical angle of a cone is 45^(@) . If the height of the cone is 20.025 cm, then the approximate value of its lateral surface area (in sq. cm ) is

The semivertical angle of a cone is 45^(@) . The height of the cone is 30.05 cm. Find the approximate value of its volume

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

If the semivertical angle of a cone is 45^(@) then the rate of change of volume of the cone is

If the semivertical angle of a cone is 45^@ then the rate of change of volume of the cone is

The vertex angle of a cone is 60^(@) . Find the ratio of diameter with the height of the cone.

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

    |