Home
Class 12
MATHS
Sand is pouring from a pipe at the rate ...

Sand is pouring from a pipe at the rate of `12cm^(3)//sec.` 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?

Text Solution

Verified by Experts

The correct Answer is:
`(dh)/(dt)=1/(48pi)cm//s`
Promotional Banner

Topper's Solved these Questions

  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-E|3 Videos

  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-B|14 Videos

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos

Similar Questions

Explore conceptually related problems

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?

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 4cm?

Sand is pouting from a pipe at the rate of 12cm^(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 ?

Sand is pouring from a pipe at the rate of 12cm^(3)//s . The falling sand forms a cone on the top of 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 4cm?

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 base. How fast height of the sand cone increasing when the height is 4 cm?

The height of a cone with slant height 15 cm and radius 9 cm is :

The area of the curved surface of a cone is 60 pi cm^(2) . If the slant height of the cone is 8 cm, find the radius of the base .

The slant height of a cone is fixed at 7 cm. If the rate of increase of its height is 0.3 cm/sec., then the rate of increase of its volume when its height is 4 cm is :

The slant height of a cone is fixed at 7 cm if the rate of increase of its height is 0.3 cm / sec then the rate of increase of its volume when its heights is 4 cm is

SUNSTAR PUBLICATION-P.U BOARD LATEST MODEL QUESTION PAPER - 3 -PART-C
  1. If x=a(costheta+logtan(theta/2)) and y=a sin theta," show that "(dy)/(...

    Text Solution

    |

  2. At what points, the function f(x)=sinx-cosx,0ltxlt2pi, attains local m...

    Text Solution

    |

  3. Evaluate int" e"^(x)sinx dx

    Text Solution

    |

  4. Find int(sinx)/(sin(x-a))dx

    Text Solution

    |

  5. Find the area of the region enclosed by the circle x^(2)+y^(2)=a^(2) b...

    Text Solution

    |

  6. Solve (2dy)/(dx)=(y)/(x)+(y^(2))/(x^(2)))

    Text Solution

    |

  7. Show that the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk) and C(3hat...

    Text Solution

    |

  8. Three vectors satisfy the condition veca,vecb and vecc satisfy the con...

    Text Solution

    |

  9. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  10. A random variable x has the following probability distribution. D...

    Text Solution

    |

  11. If f:RrarrR defined by f(x)=(4x+3), show that f is invertible and find...

    Text Solution

    |

  12. If A=[(-1,2),(2,3)],B=[(1,-3),(-3,4)] verify that AB-BA is a skew symm...

    Text Solution

    |

  13. If A=[(2,-3,5),(3,2,-4),(1,1,-2)], find A^(-1). Using A^(-1) solve th...

    Text Solution

    |

  14. If y=e^(a cos^(-1)x),-2lexle1, show that (1-x^(2))(d^(2)y)/(dx^(2))-xd...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the integral of 1/(sqrt(x^(2)-a^(2))) with respect to x and evalu...

    Text Solution

    |

  17. Find the area bounded by the curve x^(2)=4y and the line x=4y-2.

    Text Solution

    |

  18. Derive the equation of a plane in normal form both in the vector and C...

    Text Solution

    |

  19. Solve dy/dx+(2xy)/(1+x^(2))=(4x^(2))/(1+x^(2))

    Text Solution

    |

  20. The probability that a bulb produced by a factory will fuse after 150 ...

    Text Solution

    |