Home
Class 12
MATHS
A circular metal plate expends under hea...

A circular metal plate expends under heating so that its radius increases by `k %` . Find the approximate increase in the area of the plate, if the radius of the plate before heating is 10 cm.

Text Solution

Verified by Experts

Hecne, We hare `x=10` and
`Delta x=frac{k}{100} times 10 `
`Delta x=0.1 k`
`Area =pi x^{2}`
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    RD SHARMA|Exercise Solved Examples And Exercises|634 Videos
  • DIFFERENTIATION

    RD SHARMA|Exercise Solved Examples And Exercises|808 Videos

Similar Questions

Explore conceptually related problems

A circular metal plate expands under heating so that its radius increases by k%. Find the approximate increase in the area of the plate, if the radius of the plate before heating is 10 cm.

A circular metal plate expands under heating so that its radius increases by 2%. Find the approximate increase in the area of the plate if the radius of the plate before heating is 10cm.

A circular metal plate expands under heating so that its radius increases by 2%. Find the approximate increase in the area of the plate if the radius of the plate before heating is 10 cm.

The radius of a circle is increased by 10 % . Find the percentage increase in its area.

If the radius of a circle is increased by 6 % , find the percentage increase in its area

A circular metal plate is heated so that its radius increases at a rate of 0.1 mm per minute. Then the rate at which the plate's area is increasing when the radius is 50 cm, is

The radius of a circle is so increased that its circumference increased by 5%. Find the percentage increase in its area.

The radius of a circular plate increases by 2% on heating. If its radius is 10 cm before heating, find the approximate increase in its area.

A thin metal square plate has length l. when it is heated from 0^(@)C to 100^(@)C its length increases by 1%. What is the percentage increase in the area of the plate?

On increasing the radius of a shpere by 10%, find the percentage increase in its volume

RD SHARMA-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-Solved Examples And Exercises
  1. The pressure p and the volume v of a gas are connected by the relat...

    Text Solution

    |

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

    Text Solution

    |

  3. A circular metal plate expends under heating so that its radius inc...

    Text Solution

    |

  4. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximately ...

    Text Solution

    |

  5. If y=sinxa n dx change from pi/2to(22)/(14), what is the approximat...

    Text Solution

    |

  6. find the approximate volume of metal in a hollow spherical shell whose...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If the ratio of base radius and height of a cone is 1:2 and percentage...

    Text Solution

    |

  10. The pressure P and volume V of a gas are connected by the relation P V...

    Text Solution

    |

  11. If y=x^n , then the ratio of relative errors in y and x is (a) 1:1 ...

    Text Solution

    |

  12. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

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

    Text Solution

    |

  14. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |

  15. If y=x^4-10 and if x changes from 2 to 1.99, what is the approximate c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If there is an error of 2% in measuring the length of simple pendulum,...

    Text Solution

    |

  19. If a triangle ABCis not a right angled traingle abd inscribed in a fix...

    Text Solution

    |

  20. If an error of k % is made in measuring the radius of a sphere, then p...

    Text Solution

    |