Home
Class 12
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 30.05 cm. The approximately its volume is

A

410 `pisqrt(2)` sq.cm

B

60 `pi` sq.cm

C

3.6 `pi` sq.cm

D

9045`pi` sq.cm

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

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

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

Volume of a cone is

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

The vertical cross-section of a cone is

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

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1A (APPROXIMATIONS AND ERRORS)
  1. The approximate percentage reduction in the volume of a cube of ice if...

    Text Solution

    |

  2. If the side if a cube is 10.01 cm, the approximate volume of the cube ...

    Text Solution

    |

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

    Text Solution

    |

  4. If ther is an error 0.01 cm in the measurement of the radius 10 cm of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If errors of 1% each are made in te base radius and height of a cylind...

    Text Solution

    |

  9. The semi-vertical angle of a cone is 45^(@) . If the height of the con...

    Text Solution

    |

  10. The semi vertical angle of a cone is 45^@. The height of the cone is 3...

    Text Solution

    |

  11. If there is an error of 0.05 cm, while measuring the side of an equila...

    Text Solution

    |

  12. The angle A of /\ABC is found by measurement to be 63^@ and the area i...

    Text Solution

    |

  13. In /\ABC the sides b, c are given. If there is an error deltaA in incr...

    Text Solution

    |

  14. If the area of /\ABC is calculated from the measurements of b, c, A an...

    Text Solution

    |

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

    Text Solution

    |

  16. If the length of a simple pendulum is decreased by 3%, then the percen...

    Text Solution

    |

  17. If there is an error of 2% in measuring its length, of a simple pendul...

    Text Solution

    |

  18. Given PV=C (constant). The percentage of increase in V corresponding t...

    Text Solution

    |

  19. The pressure P and the volume v of a gas are connected by the relation...

    Text Solution

    |

  20. The focal length of a mirror is given by 2/f=1/v=-1/u. In finding the ...

    Text Solution

    |