Home
Class 12
MATHS
If the edge of a cube increases at the r...

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

A

`486000cm^3//sec`

B

`1458000cm^3//sec`

C

`43740000cm^3//sec`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

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

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?

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?

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?

The edge of a cube is decreasing at the rate of 0.6 cm//sec then the rate at which its volume is decreasing when the edge of the cube is 2cm , is

The side of a square sheet is increasing at the rate of 4cm per minute.At what rate is the area increasing when the side is 8cm long?

The radius of a circular plate increase at the rate of 0.1 cm per second. At what rate does the area increase when the radius of plate is 5/pi cm ?

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 10 cm/s. How fast the volume of the cube is increasing when the edge is 5 cm long?

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |

  2. The edge of a cube is increasing at the rate of 5cm//sec. How fast is ...

    Text Solution

    |

  3. If the edge of a cube increases at the rate of 60cm per second, at wha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 2 m ऊंचाई का आदमी 6 m ऊंचे बिजली के खंभे से दूर 5 km/h की समान चाल स...

    Text Solution

    |

  7. A ladder of length 17m rests with one end agains a vertical wall and t...

    Text Solution

    |

  8. A kite is moving horizontally at a height of 151.5 m. If the speed of ...

    Text Solution

    |

  9. A ladder 20 ft long has one end on the ground and the other end in con...

    Text Solution

    |

  10. Find the approximate values of : f(x)=x^(3)-3x+5" at "x=1.99.

    Text Solution

    |

  11. Find approximate value of 1/(sqrt(25. 1)) using differentials.

    Text Solution

    |

  12. Using differentials, find the approximate value of 1/((2. 002)^2)

    Text Solution

    |

  13. Approximate (80)^(1//4) using differentials

    Text Solution

    |

  14. Find the approximate values of : cot^(-1)(1.001)

    Text Solution

    |

  15. Approximate value of tan^(-1)(0.999) is

    Text Solution

    |

  16. cos(90^(@)30'), approximately given that 1^(@)=0.0175 is

    Text Solution

    |

  17. The apprximate value of sin(31^(@)), given that 1^(@)=0.0175, cos 30^(...

    Text Solution

    |

  18. The approximate value of tan46^@ is (given 1^@=0.0175radians)

    Text Solution

    |

  19. IF loge3=1.0986, thenloge(9.01) approximately is

    Text Solution

    |

  20. The Rolle's theorem is applicable in the interval -1le x le1 for the f...

    Text Solution

    |