Home
Class 10
MATHS
Fig. 15.87, shows the cross-section of ...

Fig. 15.87, shows the cross-section of railway tunnel. The radius `O A` of the circular part is 2 m. If `/_A O B=90o` , calculate: (i) the height of the tunnel (ii) the perimeter of the cross-section (iii) the area of the cross-section.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|329 Videos

Similar Questions

Explore conceptually related problems

The cross-section of a tunnel is a square of side 7 m surmounted by a semicircle. The tunnel is 80 m long Calculate : the surface area of the tunnel (excluding the floor) .

The cross-section of a tunnel is a square of side 7 m surmounted by a semicircle. The tunnel is 80 m long ,Calculate : its volume

The following figure shows the cross-section ABCD of a swimming pool which is a trapezium in shape. If the width DC, of the swimming pool is 6.4 m, depth (AD) at the shallow end is 80 cm and depth (BC) at the deepest end is 2.4 m, find its area of cross-section.

The cross-section of a railway tunnel is a square surmounted by a semi-circle as shown in the figure. The tunnel is 50 m long. Find the cost of plastering the internal surface of the tunnel (excluding the floor) at the rate of Rs 10 per m^(2).

Find the curved surface area and the total surface area of a right circular cyclinder whose height is 15 cm and the diameter of the cross- sections is 14 cm

A uniform current I is flowing in a long wire of radius R . If the current is uniformly distributed across the cross-sectional area of the wire, then

If cross- sectional area of limb I is A_(1) and that of limb II is A_(2) then velocity of the liquid in the tube will be, (cross- sectional area of tube is very small)

The cross-section of a railway tunnel is a rectangle 6 m broad and 8 m high surmounted by a semi-circle . The tunnel is 35 m long. Find the cost of plastering the internal surface of the tunnel (excluding the floor) at the rate of Rs 2.25 per m^(2)

I-V characterstic of a copper wire of length L and area fo cross-section A is shown in Fig. The slope of the curve becomes

The pressure exerted on the smaller and the larger piston of a hydraulic machine is 15 Pa Calculate the force exerted by it on the larger piston, if the area of cross section of the larger piston is 4 m^2 .

RD SHARMA ENGLISH-AREAS RELATED TO CIRCLES-All Questions
  1. Find the area enclosed between two concentric circles of radii 3.5 ...

    Text Solution

    |

  2. A path of 4 m width runs around a semi-circular grassy plot whose circ...

    Text Solution

    |

  3. Fig. 15.87, shows the cross-section of railway tunnel. The radius O...

    Text Solution

    |

  4. In Fig. 15.90, O is the centre of a circular arc and A O B is a ...

    Text Solution

    |

  5. In Figure, two circles with centres A and B touch each other at the ...

    Text Solution

    |

  6. In Fig. 15.93, A B C D is a rectangle with A B=14\ c m and B C=7\ c ...

    Text Solution

    |

  7. In Figure, the boundary of the shaded region consists of four semi-c...

    Text Solution

    |

  8. In Fig. 15.98, A B C is a right angled triangle in which /A=90o , A...

    Text Solution

    |

  9. In Fig. 15.99, a square O A B C is inscribed in a quadrant O P B Q ...

    Text Solution

    |

  10. Two circular pieces of equal radii and maximum area, touching each ...

    Text Solution

    |

  11. In the given figure, three semicircles are drawn of diameter 10 cm, 7 ...

    Text Solution

    |

  12. In Figure, A B C D is a trapezium of area 24. 5\ c m^2 . In it, A D ...

    Text Solution

    |

  13. In Figure, from a rectangular region A B C D with A B=20\ c m , a righ...

    Text Solution

    |

  14. What is the ratio of the areas of a circle and an equilateral trian...

    Text Solution

    |

  15. The circumference of two circles are in the ratio 2\ :3 . Find the ...

    Text Solution

    |

  16. Write the area of the sector of a circle whose radius is r and l...

    Text Solution

    |

  17. What is the length (in terms of pi ) of the arc that subtends an angle...

    Text Solution

    |

  18. What is the angle subtended at the centre of a circle of radius 6 c...

    Text Solution

    |

  19. What is the area of a sector of a circle of radius 5 cm formed by a...

    Text Solution

    |

  20. In a circle of radius 10 cm, an arc subtends an angle of 108o at ...

    Text Solution

    |