Home
Class 9
MATHS
The dome of a building is in the form of...

The dome of a building is in the form of a hemisphere. Its radius is 63dm. Find the cost of painting it at the rate of Rs. 2 per sq.m.

Text Solution

Verified by Experts

Radius of hemisphere `= 63 dm`
`1 dm = 0.1 m`
So, `63 dm = 6.3 m`
So, radius of hemisphere `= 6.3 m`
Curved surface area of hemisphere `= 2 pi r^2= 2 xx 3.14 xx (6.3)^2`
`= 249.2532`
Cost of painting `1 sq.m. = Rs.2`
Cost of painting `249.2532 sq.m.= 249.2532 xx 2=498.5064`
Hence the total cost of painting is `Rs. 498.5064`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA|Exercise All Questions|128 Videos
  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

A wooden toy is in the form of a cone surmounted on a hemisphere.The diameter of the base of the cone is 5cm and its height is 4cm. Find the cost of painting the toy at the rate of Rs.5 per 1000cm^(2) .

A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 104 cm and the radius of each hemispherical end is 7 cm, find the cost of polishing its surface at the rate of Rs 2 per dm^(2) (take pi = 22/7)

A dome of a building is in the form of a hemisphere.From inside,it was white-washed at the cost of Rs 498.96. If the cost of white- washing is Rs 2.00 per square metre,find the (i) inside surface area of the dome,(ii) volume of the air inside the dome.

A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs. 498.96. If the cost of white washing is Rs. 2.00 per square metre, find the (i) inside surface area of the dome. (ii) volume of the air inside the dome.

The height of a conical tank is 60 cm and the diameter of its base is 64 cm. The cost of painting it from outside at the rate of Rs35 per sq m is

The side of a triangle shaped sheet are 5cm, 12cm and 13cm. Find the cost of painting on the sheet at the rate of Rs 30 per cm sq.

The area of a circular playground is 22176 m^(2) . Find the cost of fencing this ground at the rate of Rs. 50 per m.

Find the volume of a cubical box if the cost of painting its outer surface is Rs 1440 at the rate of Rs 15 per sq.m.

A dome of a building is in the form of a hemisphere.From inside,it was white-washed at the cost of Rs.498.96. If the cost of white- washing is Rs.2.00 per square metre,find the inside surface area of the dome and volume of the air inside the dome.

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. A capsule of medicine is in the shape of a sphere of diameter 3.5mm....

    Text Solution

    |

  2. A cube of side 4 cm contains a sphere touching its side . Find the ga...

    Text Solution

    |

  3. The dome of a building is in the form of a hemisphere. Its radius i...

    Text Solution

    |

  4. Assuming the earth to be a sphere of radius 6370 km, how many squar...

    Text Solution

    |

  5. A storage tank consists of a circular cylinder with a hemisphere ad...

    Text Solution

    |

  6. The diameter of the moon is approximately one fourth of the diamete...

    Text Solution

    |

  7. The front compound wall of a house is decorated by wooden spheres of...

    Text Solution

    |

  8. A hemispherical bowl is made of steel 0.5 cm thick. The inside radi...

    Text Solution

    |

  9. The volume of the two spheres are in the ratio 64:27. Find the diff...

    Text Solution

    |

  10. A cylinder of radius 12cm contains water to a depth of 20cm. A sphe...

    Text Solution

    |

  11. A vessel in the form of a hemisphereical bowl is full of water. The...

    Text Solution

    |

  12. A dome of a building is in the form of a hemisphere. From inside, i...

    Text Solution

    |

  13. Twenty seven solid iron spheres, each of radius r and surface area S a...

    Text Solution

    |

  14. A wooden toy is in the form of a cone surmounted on a hemisphere. T...

    Text Solution

    |

  15. A toy is in the shape of a right circular cylinder with a hemispher...

    Text Solution

    |

  16. Three solid spheres of iron whose diameters are 2cm, 12cm and 16cm,...

    Text Solution

    |

  17. How many spherical lead shots each 4.2 cm in diameter can be obtain...

    Text Solution

    |

  18. A sphere of diameter 6cm is dropped in a right circular cylindrical...

    Text Solution

    |

  19. A solid lead ball of radius 7cm was melted and then drawn into a wi...

    Text Solution

    |

  20. A sphere, a cylinder and a cone are of the same radius and same hei...

    Text Solution

    |