Home
Class 10
MATHS
The given figure shows the cross-section...

The given figure shows the cross-section of a water channel consisting of a rectangle and a semi-circle. Assuming that the channel is always full, find the

volume of water discharged through it in one minute if water is flowing at the rate of 20 cm per second. Give your answer in cubic metres correct to one place of decimal.

Text Solution

Verified by Experts

The correct Answer is:
`0.4 m ^(3)`
Promotional Banner

Topper's Solved these Questions

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (G)|23 Videos

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (E)|12 Videos

  • CONSTRUCTIONS (CIRCLES)

    ICSE|Exercise EXERCISE|39 Videos

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(E)|68 Videos

Similar Questions

Explore conceptually related problems

The area of cross-section of a pipe is 10.4 cm2 and water is running through it at the rate of 54 km/h. If the pipe is always 60% full, find the volume of water, in litres, that flows through the pipe in 5 minutes.

From a tap of inner radius 0.75cm, water flows at the rate of 7m per second. Find the volume in litres of water delivered by the pipe in one hour.

From a tap of inner radius 0.75cm, water flows at the rate of 7m per second. Find the volume in litres of water delivered by the pipe in one hour.

In the given figure ABCD is a rectangle. It consists of a circle and two semi-circles each of which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to three significant figures.**

The given figure shows the cross-section of an ice cream cone consisting of a cone surmounted by a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 10-5 cm. The outer shell ABCDEF is shaded and is not filled with ice-cream. AF = DC = 0.5 cm, AB // FE and BC // ED. Calculate : (i) the volume of the ice-cream in the cone (the internal volume of the cone including the hemisphere) in cm ^(3), (ii) the volume of the outer shell (the shaded portion) in cm ^(3). In each case, give your answer correct to the nearest cm ^(3).

Water flows through a horizontal pipe of varying cross-section at the rate of 20 litres per minutes , determine the velocity of water at a point where diameter is 4 cm

Water flows through a cylindrical pipe of internal diameter 7 cm at 5 metre per second. Calculate : (i) the volume, in litres, of water discharged by the pipe in one minute, (ii) the time, in minutes, the pipe would take to fill an empty rectangular tank 4m xx 3m xx 2.31 m.

Water flows through a horizontal pipe of varying area of cross section at the rate 15 cubic metre per minute. Find the radius of pipe where water velocity is 3 ms^(-1)

Find the molaity of water. Given: rho =1000kg//m^(3) [Report your answer upto one decimal place].

Water flows out through a circular pipe whose internal diameter is 2cm, at the rate of 6 metres per second into a cylindrical tank. The radius of whose base is 60cm. Find the rise in the level of water in 30 minutes?

ICSE-CYLINDER, CONE AND SPHERE -EXERCISE 20 (F)
  1. From a right circular cylinder with height 10cm and radius of base ...

    Text Solution

    |

  2. From a solid cylinder whose height is 16 cm and radius is 12 cm, a con...

    Text Solution

    |

  3. A circus tent is cylindrical to a height of 4 m and conical above it. ...

    Text Solution

    |

  4. A circus tent is cylindrical to a height of 8 m surmounted by a conica...

    Text Solution

    |

  5. A circus tent is cylindrical to a height of 8 m surmounted by a conica...

    Text Solution

    |

  6. A cylindrical boiler, 2 m high, is 3.5 m in diameter. It has a hemisph...

    Text Solution

    |

  7. A vessel is a hollow cylinder fitted with a hemispherical bottom of ...

    Text Solution

    |

  8. A wooden toy is in the shape of a cone mounted on a cylinder as shown ...

    Text Solution

    |

  9. A cylindrical container with diameter of base 42 cm contains sufficien...

    Text Solution

    |

  10. Spherical marbles of diameter 1-4 cm are dropped into a beaker contain...

    Text Solution

    |

  11. The cross-section of a railway tunnel is a rectangle 6 m broad and 8 m...

    Text Solution

    |

  12. The horizontal cross-section of a water tank is in the shape of a rect...

    Text Solution

    |

  13. The given figure shows the cross-section of a water channel consisting...

    Text Solution

    |

  14. An open cylindrical vessel of internal diameter 7 cm and height 8 cm s...

    Text Solution

    |

  15. A cylindrical can, whose base is horizontal and of radius 3-5 cm, cont...

    Text Solution

    |

  16. A cylindrical can, whose base is horizontal and of radius 3-5 cm, cont...

    Text Solution

    |

  17. A hollow cylinder has solid hemisphere inward at one end and on the ot...

    Text Solution

    |