Home
Class 12
MATHS
Find the approximate volume of metal ...

Find the approximate volume of metal in a hollow spherical shell whose internal and external radii are 3 cm and 3.0005 cm, respectively.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos
  • DIFFERENTIATION

    RD SHARMA ENGLISH|Exercise All Questions|806 Videos

Similar Questions

Explore conceptually related problems

find the approximate volume of metal in a hollow spherical shell whose internal and external radii are 3cm and 3.0005cm, respectively.

A hollow spherical shell is made of a metal of density 4.5 g per cm^(3) . If its internal and external radii are 8 cm and 9 cm, respectively find the weigth of the shell.

Find the area of a triangle whose sides are 3cm, 4cm and 5cm respectively.

Find the weight of a hollow sphere of metal having internal and external diameters as 20 cm and 22 cm, respectively if 1\ cm^3 of metal weighs 21 g.

The volume of metal in a hollow sphere is constant. If the inner radius is increasing at the rate of 1 cm/sec, find the rate of increase of the outer radius when the radii are 4 cm and 8 cm respectively.

The volume of metal in a hollow sphere is constant. If the inner radius is increasing at the rate of 1 cm/sec, find the rate of increase of the outer radius when the radii are 4 cm and 8 cm respectively.

A solid spherical ball of iron with radius 6 cm is melted and recast into three solid spherical balls. The radii of the two balls are 3 cm and 4 cm respectively, determine the diameter of the third ball.

A solid spherical ball of iron with radius 6 cm is melted and recase tin to three solid spherical balls . The radii of the two of the balls are 3 cm and 4 cm respectively determine the diameter of the third ball.

A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form a cone of base diameter 8 cm. The height of the cone is

Find the area of a ring whose outer and inner radii are respectively 20 cm and 15 cm

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. If the radius of a sphere is measured as 9 cm with an error of 0.03...

    Text Solution

    |

  2. Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

    Text Solution

    |

  3. Find the approximate volume of metal in a hollow spherical shell wh...

    Text Solution

    |

  4. Use differentials to approximate sqrt(25. 2) .

    Text Solution

    |

  5. Use differentials to approximate the cube root of 127.

    Text Solution

    |

  6. Use differentials to find the approximate value of sqrt(0. 037) .

    Text Solution

    |

  7. Use differentials to find the approximate value of (log)e(4. 01), havi...

    Text Solution

    |

  8. Using differentials find the approximate value of tan46^0, if it is be...

    Text Solution

    |

  9. If in a triangle A B C , the side c and the angle C remain constant, w...

    Text Solution

    |

  10. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

    Text Solution

    |

  11. If y=sinx and x changes from pi//2 to 22//14 , what is the approxim...

    Text Solution

    |

  12. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximatel...

    Text Solution

    |

  13. A circular metal plate expands under heating so that its radius inc...

    Text Solution

    |

  14. Find the percentage error in calculating the surface area of a cubi...

    Text Solution

    |

  15. If there is an error of 0.1% in the measurement of the radius of a ...

    Text Solution

    |

  16. The pressure p and the volume v of a gas are connected by the relat...

    Text Solution

    |

  17. The height of a cone increases by k % its semi-vertical angle remainin...

    Text Solution

    |

  18. Show that the relative error in computing the volume of a sphere, d...

    Text Solution

    |

  19. Using differentials, find the approximate value of sqrt(25. 02)

    Text Solution

    |

  20. Using differentials, find the approximate value of (0. 009)^(1//3)

    Text Solution

    |