Home
Class 14
MATHS
A hemispherical bowl is filled with hot ...

A hemispherical bowl is filled with hot water. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height
This hemispherical bowl is joined at one end of the cylindrical vessel and the solid obtained by combining these figure is filled completely with water. If a drain pipe is connected to it then pipe will empty 539 cm cube of water in one minute. If radius of the solid is 21 cm, then in what time whole water will be emptied from the solid. Given that diameter of cylinder and hemisphere are same.

A

72 min

B

60 min

C

90 min

D

75 min

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    ADDA247|Exercise PREVIOUS YEAR QUESTION |31 Videos

  • MENSURATION

    ADDA247|Exercise PRELIMS QUESTIONS (LEVEL -2)|25 Videos

  • INEQUALITY

    ADDA247|Exercise Previous Year Questions |75 Videos

  • MIXTURE & ALLIGATION

    ADDA247|Exercise PREVIOUS YEAR QUESTIONS |21 Videos

Similar Questions

Explore conceptually related problems

A hemispherical bowl is filled to the brim with a beverage. The contents of t he bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both the bowl and the cylinder, the volume of the beverage in the cylindrical vessel is 66 2/3% (b) 78 1/2% (c) 100% (d) More than 100% (i.e., some liquid will be left in the bowl)

A hemispherical bowl of internal radius 9cm is full of water.Its contents are emptied in a cylindrical vessel of internal radius 6cm. Find the height of water in the cylindrical vessel.

A hemispherical bowl of internal radius 9cm is full of water.Its contents are emptied in a cylindrical vessel of internal radius 6cm. Find the height of water in the cylindrical vessel.

A conical vessel whose internal radius is 5 cm and height 24 cm, is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the water rises in the cylindrical vessel.

A cylindrical vessel having diameter equal to its height is full of water which is poured into two identical cylindrical vessels with diameter 42 cm and height 21 cm which are filled completely. Find the diameter of the cylindrical vessel.

A conical vessel,whose internal radius is 12cm and height 50cm, is full of liquid.The contents are emptied into a cylindrical vessel with internal radius 10cm. Find the height to which the liquid rises in the cylindrical vessel.

A hemispherical bowl of internal diameter 24 cm contains water. This water is to be filled in cylindrical bottles, each of radius 6 cm and height 8 cm. How many such bottles are required to empty the bowl?

A vessel in the form of a hemisphereical bowl is full of water.The contents are emptied into a cylinder.The internal radii of the bowl and cylinder are respectively 6cm and 4cm. Find the height of water in the cylinder.

ADDA247-MENSURATION -MAINS QUESTIONS
  1. A solid right circular cylinder has radius r and height 5r. A solid ri...

    Text Solution

    |

  2. A hemispherical bowl is filled with hot water. The contents of the bow...

    Text Solution

    |

  3. A hemispherical bowl is filled with hot water. The contents of the bow...

    Text Solution

    |

  4. Four horses are tethered for grazing at four corners of a square plot ...

    Text Solution

    |

  5. Sum of Area of circle and a rectangle is equal to 622 sq cm. The diame...

    Text Solution

    |

  6. There is a solid cone of radius R. A circular hole of radius r is dril...

    Text Solution

    |

  7. There are 500 rooms in a multi-floored hotel. However, due to a change...

    Text Solution

    |

  8. There are 500 rooms in a multi-floored hotel. However, due to a change...

    Text Solution

    |

  9. According to a plan, a team of woodcutters decided to harvest 216 m3 o...

    Text Solution

    |

  10. According to a plan, a team of woodcutters decided to harvest 216 m3 o...

    Text Solution

    |

  11. The dimensions of a field are 20 m by 9 m. A pit 10 m long, 4.5 m wide...

    Text Solution

    |

  12. If the curved surface area of a cone is thrice that of another cone an...

    Text Solution

    |

  13. Find the area of the shaded region if the radius of each of the circle...

    Text Solution

    |

  14. Find the perimeter and area of the shaded portion of the adjoining dia...

    Text Solution

    |

  15. A cylindrical container whose diameter is 12 cm and height is 15 cm, i...

    Text Solution

    |

  16. A rectangular tin sheet is 22 m long and 8 m broad. It is rolled alon...

    Text Solution

    |

  17. What is the area of the shaded portion if each side of the square meas...

    Text Solution

    |

  18. An oblong piece of ground measures 19 meters 2.5 dm by 12 metres 5 dm....

    Text Solution

    |

  19. In the given figure, OP = PQ = 14 cm and semicircles are drawn on OP, ...

    Text Solution

    |

  20. The circumference of a circular field is 440 m. A circular path of 10 ...

    Text Solution

    |