Home
Class 12
MATHS
An edge of a variable cube is increasing...

An edge of a variable cube is increasing at the rate of 10 cm/s. How fast the volume of the cube is increasing when the edge is 5 cm long?

A

750 `cm^(3)//sec`

B

75 `cm^(3)//sec`

C

300 `cm^(3)//sec`

D

150 `cm^(3)//sec`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

An edge of a variable cube is increasing at the rate of 10cm/sec. How fast the volume of the cube is increasing when the edge is 5cm long?

An edge of a variable cube is increasing at the rate of 5 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long ?

An edge of a variable cube is increasing at the rate of 3 cm//s . How fast is the volume of the cube increasing when the edge is 10 cm long?

An edge of a variable cube is increasing at the rate of 3cm/s .How fast is the volume of the cube increasing when the edge is 10cm long?

An edge of a variable cube is increasing at the rate of 3 cm per second. How fast is the volume of the cube increasing when the edge is 10 cm long?

An edge of a variable cube is increasing at the rate of 3cm per second.How fast is the volume of the cube increasing when the edge is 10cm long?

The edge of a cube is increasing at the rate of 5cm//sec . How fast is the volume of the cube increasing when the edge is 12 cm long?

The volume of a cube is increasing at the rate of 9cm3/sec. How fast is the surface are increasing when the length of an edge is 10cm?

The volume of a cube is increasing at the rate of 8cm^(3)/s How fast is the surface area increasing when the length of an edge is 12cm?

If the edge of a cube increases at the rate of 60 cm per second, at what rate the volume is increasing when the edge is 90 cm

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  2. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  3. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  4. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  5. A ball is dropped from a platform 19.6 m high. Its position function i...

    Text Solution

    |

  6. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  7. A stone is dropped into a quiet lake and waves move in circles at a sp...

    Text Solution

    |

  8. If a circular plate is heated uniformly, its area expands 3c times as ...

    Text Solution

    |

  9. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  10. A ladder is resting with the wall at an angle of 30^circ. A man is asc...

    Text Solution

    |

  11. For the curve y=5x-2x^(3), if x increases at the rate of 2units/sec, t...

    Text Solution

    |

  12. An edge of a variable cube is increasing at the rate of 10 cm/s. How f...

    Text Solution

    |

  13. The altitude of a cone is 20 cm and its semi-vertical angle is 30^@. I...

    Text Solution

    |

  14. The aproximate value of square root of 25.2 is

    Text Solution

    |

  15. The possible percentage error in computing the parallel resistance R o...

    Text Solution

    |

  16. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |

  17. The approximate value of {3.92)^(2) + 3(2.1)^(4)}^(1//6) is

    Text Solution

    |

  18. Using differentials, find the approximate value of (0. 007)^(1//3)

    Text Solution

    |

  19. If there is an error of +-0.04cm in themeasurement of the diameter of ...

    Text Solution

    |

  20. If the radius of a sphere is measured as 9 cm with an error of 0.03...

    Text Solution

    |