Home
Class 12
MATHS
If the radius of a sphere is raised from...

If the radius of a sphere is raised from 10 cm to 10.02 cm when heated, then the approximate change in the volume is

A

8 `pi` cubic cm

B

80 `pi` cubic cm

C

0.06 `pi` cubic cm

D

16 `pi` cubic cm

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (APPROXIMATIONS AND ERRORS)|67 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 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

If the radius of a sphere is raised from 10 cm to 11 cm when heated then the percentage increase in volume is

If the radius of a sphere is increased from 7 cm to 7.02 cm. then find the approximate increase in the volume of the sphere.

If the radius of a sphere is increased from 7cm to 7.02cm. The find the approximate increase in the volume of the sphere

When the radius of a sphere decreases from 3cm to 2.98cm then the approximate decrease in volume of sphere is

If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its volume.

If the radius of a sphere is measured as 7 m with an error of 0.02 m, then find the approximate error in calculating its volume

The diameter of a sphere is measured to be 40 cm. If an error of 0.02 cm is made in it, then find approximate errors in volume and surface area of the sphere.

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)
  1. If the radius of a sphere is raised from 10 cm to 10.02 cm when heated...

    Text Solution

    |

  2. A : In triangle ABC if a,A and R are fixed then Deltaa *sec A +Deltab...

    Text Solution

    |

  3. A : if semivertical angle of a cone is 45^@ and height of the cone is ...

    Text Solution

    |

  4. Assertion (A) : If semi vertical angle of a cone is 45^(@) and height ...

    Text Solution

    |

  5. A : The gradiant of the curve y=x^3-3x^2-2x+7 at (1,3) is -5. R : T...

    Text Solution

    |

  6. A : Area of triangle formed by tangent to the curve xy=c^2 with coordi...

    Text Solution

    |

  7. The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 touch at the point (-1, 0). The...

    Text Solution

    |

  8. A : The curve y=x^2,6y=7-x^3 cut orthogonally at (1,1) . R : Two cur...

    Text Solution

    |

  9. A :A particle moves along a line is given by s=(t^3)/3 -3t^2+8t+5 .it...

    Text Solution

    |

  10. A : The smallest value of x^2-3x+3 in [-3,3/2] is 3/4 R: The smalles...

    Text Solution

    |

  11. A : The function f(x) =2x^3-3x^2-12x+8 has minimum value R: For the ...

    Text Solution

    |

  12. A : If x+y =12 then the minimum value of x^2+y^2 is 72 R : If x+y=k ...

    Text Solution

    |

  13. Observe the following statements : Asseration (A) : f(x)=2x^3-9x^2+1...

    Text Solution

    |

  14. The function f(x) =xe^(-x)(x in R) attains a maxium value at x= …..

    Text Solution

    |

  15. Consider the functions, f(x) = |x -2 | + |x - 5 |, x in R Statement-1...

    Text Solution

    |

  16. Let a, b in R be such that the function f given by f(x)= ln |x|+bx^(2)...

    Text Solution

    |