Home
Class 11
MATHS
Water is following into a right circular...

Water is following into a right circular conical vassel. 45 cm deep and 27 cm in diameter at the rate of `11 cm^3//min`. How fast is the water-level rising when th water is 30 cm deep?

Promotional Banner

Topper's Solved these Questions

  • Kalidhan Institution, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |23 Videos
  • MODEL QUESTION PAPERS-SET 1

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Water is flowing into a right circular conical vessel, 45 cm deep and 27 cm in diameter at the rate of 11 cm^(3) /min. How fast is the water-level rising when the water is 30 cm deep?

Water is flowing into a right circular conical vessel, 24 inches deep and 12 inches in diameter at the rate of "in"^(3). /min. How fast is the water-level rising when the water is 10 inches deep?

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?

The radius of a circular plate increases at the rate of 0.002 cm/s.. How fast is the area changing when radius is 14 cm?

The radius of a circular plante increased at the rate of 0.002 cm/s. How fast is the area changing when radius is 14 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 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

The slant height of a pot of shaped a right circular cone is 130 cm and if the diameter of the base be 100 cm , then how much litres of water will contain in the pot ? (pi=3.14)

The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min . The rate of change of the volume of the cylinder, in cm^2//min , when the radius is 2c m and the height is 3cm is (a) -2pi (b) -(8pi)/5 -(3pi)/5 (d) (2pi)/5

There are some water in a long gas jar of 7 cm diameter. If a solid right circular cylindrical pipe of iron having 5 cm length and 5*6 cm diameter be immersed completely in that water, calculate how much the level of water will rise.

UNITED BOOK HOUSE-MCQ-EXERCISE
  1. Evaluate: underset(x rarr 0)(lim)(e^(3x)-1)/(log(1+5x))

    Text Solution

    |

  2. Evaluate :lim(xrarrpi//2)(xtanx-pi/2 secx)

    Text Solution

    |

  3. Water is following into a right circular conical vassel. 45 cm deep an...

    Text Solution

    |

  4. if y=f{f(x)},f(0)=0and f'(0)=5 find [dy/dx](x=0)

    Text Solution

    |

  5. Find the coefficient of variation of the following data :

    Text Solution

    |

  6. Find the mean deviation about median from the following data.

    Text Solution

    |

  7. For any two events A and B prove that P(A cup B) le P{A) + P (B).

    Text Solution

    |

  8. From 100 tickets numbered 1, 2,3.. ..... 100.four are drawn at random....

    Text Solution

    |

  9. Two balls are drawn at random from a bag containing 6 white and 4 blac...

    Text Solution

    |

  10. If the circles x^2+y^2+2ax+c^2=0and x^2+y^2+2by+c^2=0touch each other,...

    Text Solution

    |

  11. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

    Text Solution

    |

  12. If (cot(alpha-beta))/cotalpha+(cos^2gamma)/(cos^2alpha)=1show that tan...

    Text Solution

    |

  13. Solve :cos^3xcos3x+sin^3xsin3x=0

    Text Solution

    |

  14. In any triangle ABC If sinA : sinB: sinC=4:5:6,then prove that cos A ...

    Text Solution

    |

  15. Find the domain of definition of the function defined by f(x)=1/loge(2...

    Text Solution

    |

  16. Solve :barz=iz^2(z being a complex number)

    Text Solution

    |

  17. if x be real, show that the value of (2x^2-2x+4)/(x^2-4x+3)cannot lie ...

    Text Solution

    |

  18. If alpha be a root of the quadratic equaiton 4x^2+2x-1=0 .Prove that 4...

    Text Solution

    |

  19. solve : |x+2|/x<3where x in Rand x!=0

    Text Solution

    |

  20. Show that there are 136 ways of selecting 4 letters from the word EXAM...

    Text Solution

    |