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

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?

Text Solution

Verified by Experts

The correct Answer is:
`900 cm^(3)//s`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.2|23 Videos
  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.3|31 Videos
  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.6|24 Videos
  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

The radius of an air bubble is increasing at the rate of (1)/(2) cm/s. At what rate is the volume of the bubble increasing when the radius is 1 cm?

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

An edge of a variable cube is increasing at the rate of 2 cm//s . When the edge of a cube is 8 cm long, then its volume will increase at the rate of-

The surface area of a spherical bubble is increasing at the rate of 2 cm^(2)//s . Then the rate at which the volume of the bubble is increasing at the instant when its radius is 6 cm, is-

The volume of a cube is increasing at a rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres ?

The radius of a circle is increasing uniformly at the rate of 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

If water is poured into an inverted hollow cone whose semi-vertical angle is 30^0, show that its depth (measured along the axis) increases at the rate of 1 cm/s. Find the rate at which the volume of water increases when the depth is 24 cm.

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

Sand is pouring from a pipe at the rate of 12 cm^(3) /s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?

A sphereical balloon is being fiiled with air at the rate of 25 cm^(3) /s. How fast is the radius increasing when the balloon is 20 cm in diameter?

NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.1
  1. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  2. The volume of a cube is increasing at the rate of 8 cm^(3) /s. How fas...

    Text Solution

    |

  3. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  4. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

    Text Solution

    |

  5. A stone is dropped into a quiet lake and waves move in circles at the ...

    Text Solution

    |

  6. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  7. The length x of a rectangle is decreasing at the rate of 5 cm/minute a...

    Text Solution

    |

  8. A balloon, which always remains spherical on inflation, is being infla...

    Text Solution

    |

  9. A balloon, which always remains spherical has a variable radius. Find ...

    Text Solution

    |

  10. A ladder 5 cm long is leaning against a wall. The bottom of the ladder...

    Text Solution

    |

  11. A particle moves along the curve 6y = x^(3) +2. Find the points on the...

    Text Solution

    |

  12. The radius of an air bubble is increasing at the rate of (1)/(2) cm/s....

    Text Solution

    |

  13. A balloon, which always remains spherical, has a variable diameter (3)...

    Text Solution

    |

  14. Sand is pouring from a pipe at the rate of 12 cm^(3) /s. The falling s...

    Text Solution

    |

  15. The total cost C(x) in Rupees associated with the production of x unit...

    Text Solution

    |

  16. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

  17. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  18. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |