Home
Class 12
MATHS
If an error of k% is made in measurin...

If an error of k% is made in measuring the radius of a sphere, then percentage error in its volume is (a) k% (b) 3k% (c) 2k% (d) `k//3%`

Text Solution

Verified by Experts

The correct Answer is:
3k%
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 4 MARK QUESTIONS|57 Videos
  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 6 MARK QUESTIONS|13 Videos
  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 6 MARK QUESTIONS|13 Videos
  • APPLICATIONS OF INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR/SIX MARK QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

If an error of k% is made in measuring the radius of a sphere,then percentage error in its volume.k%(b)3k%(c)3k%(d)(k)/(3)%

The error in measurement of radius of a sphere is 0.1% then error in its volume is -

If there is an error of 2% in measuring the length of simple pendulum,then percentage error in its period is: (a) 1% (b)2% (c) 3% (d) 4%

If the percentage error in the radius of a sphere is alpha , find the percentage error in its volume.

If errors of 1% each are made in te base radius and height of a cylinder, then the percentage error in its volume, is

If there is an error of k% in measuring the edge of a cube,then the percent error in estimating its volume is (a)k (b) 3k(c)(k)/(3) (d) none of these

There is an error of 0.2% in measurment of the redius of a sphere. Find the percentage error in its (i) volume, (ii) surface.

If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is (a) 2a% (b) a/2% (c) 3a% (d) none of these

If the percentage error in the surface area of sphere is k, then the percentage error in its volume is

If there is 2% error in measuring the radius of sphere, then…………… will be the percentage error in the surface area.

CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-2 MARK QUESTIONS
  1. Find the coordinates of the point on the curve y^2=3-4x where tange...

    Text Solution

    |

  2. The sum of the two numbers is 8, what will be the minimum value of the...

    Text Solution

    |

  3. Find the maximum value of f(x)=2x^(3)-24x+107 in the internal [1,3]

    Text Solution

    |

  4. If the rate of change of area of a circle is equal to the rate of c...

    Text Solution

    |

  5. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  6. If there is an error of a% in measuring the edge of a cube, then pe...

    Text Solution

    |

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

    Text Solution

    |

  8. The point on the curve y^(2)=x where tangent makes 45^(@) angle with x...

    Text Solution

    |

  9. The slope of the tangent to the curves x=3t^2+1,y=t^2-1 at t=1 is

    Text Solution

    |

  10. If the curves y=2\ e^x and y=a e^(-x) intersect orthogonally, then ...

    Text Solution

    |

  11. Find the point on the curve y^2dot 8xdot for which the abscissa and or...

    Text Solution

    |

  12. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

    Text Solution

    |

  13. Find the point on the curve y=x^(2), where the slope of the tangent is...

    Text Solution

    |

  14. Use differentials to approximate the cube root of 66.

    Text Solution

    |

  15. Find the maimum and minimum values of the function f(x)= sin (sin x)

    Text Solution

    |

  16. Find the local maxima and minima of the function f(x)=2x^(3)-21x^(2)+3...

    Text Solution

    |

  17. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

    Text Solution

    |

  18. Find the equation of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(...

    Text Solution

    |

  19. If the radius of a circle increases from 5 cm to 5.1 cm, find the incr...

    Text Solution

    |

  20. Find the equation of the normal to the curve y=2x^(3)+3 sin x" at "x=0...

    Text Solution

    |