Home
Class 9
MATHS
The total surface area of a hemisphere...

The total surface area of a hemisphere of radius `r` is `pir^2` (b) `2pir^2` (c) `3pir^2` (d) `4pir^2`

Text Solution

Verified by Experts


The surface area of a sphere of radius `r \is\ 4pir^2`
Half of this is `2pir^2`
If you have a hemispherical object then it has a base which is a circle of radius `r.`
The area of a circle of radius `r \is\ pir^2`
So the hemisphere is meant to include the base then the surface area is `2pir^2+pir^2=3pir^2`
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

The total surface area of a solid hemisphere of radius r is

What is the total surface area of hemisphere if the radius of hemisphere is r.

The ratio of the total surface area of a sphere and a hemisphere of same radius is 2:1 (b) 3:2 (c) 4:1 (d) 4:3

The total surface area of a cone of radius r/2 and length 2l , is a)2pir(l+r)b)pir(l+r/4) c)pir(l+r) d)2pirl

The total surface area of a hemisphere is 3768cm2. Find the radius of the hemisphere. (Take pi =3.14 )

Three equal circles are described with vertices of the triangles as centres. If the radius of each circle is r , the sum of areas of the portions of the circles intercepted in a triangle is 2pir^2 (b) 3/2pir^2 (c) pir^2 (d) 1/2pir^2

If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is (a) 1/3pir^3 (b)2/3 pir^3 (c)3pir^3 (d)9pir^3

Area of a circle = 2pir^(2) .

The area of the curved surface of a cone of radius 2r and slant height l/2 is a) pirl b)2pirl c)1/2 pir l d)pi(r+l)r

The ratio of total surface area to lateral surface area of a cylinder whose radius is 20cm and height 60cm, is (a) 2:1quad (b) 3:2 (c) 4:3quad (d) 5:3

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. How many spherical bullets can be made out of a solid cube of lead who...

    Text Solution

    |

  2. If a sphere of radius 2r has the same volume as that of a cone wit...

    Text Solution

    |

  3. A metallic spherical shell of internal and external diameters 4 cm and...

    Text Solution

    |

  4. The surface area of a sphere of radius 5 cm is five times the curved s...

    Text Solution

    |

  5. In a sphere is inscribed in a cube, find the ratio of the volume of ...

    Text Solution

    |

  6. In a sphere the number of faces is 1         (b)  2      (c)  3 ...

    Text Solution

    |

  7. The total surface area of a hemisphere of radius r is pir^2 (b) 2pi...

    Text Solution

    |

  8. The ratio of the total surface area of a sphere and a hemisphere of ...

    Text Solution

    |

  9. A sphere and a cube are of the same height. The ratio of their volum...

    Text Solution

    |

  10. The largest sphere is cut off from a cube of side 6cm. The volume of...

    Text Solution

    |

  11. A cylindrical rod whose height is 8 times of its radius is melted and ...

    Text Solution

    |

  12. If the ratio of volumes of two spheres is 1:8, then the ratio of the...

    Text Solution

    |

  13. If the surface area of a sphere is 144pi\ m^2, then its volume (in...

    Text Solution

    |

  14. If a solid sphere of radius 10 cm is moulded into 8 spherical solid...

    Text Solution

    |

  15. The ratio between the volume of a sphere and volume of a circumscrib...

    Text Solution

    |

  16. The ratio of the volume of a cube so that of a sphere which will fit...

    Text Solution

    |

  17. A solid sphere of radius r is melted and cast into the shape of a ...

    Text Solution

    |

  18. A sphere is placed inside a right circular cylinder so as to touch t...

    Text Solution

    |

  19. A cone and a hemisphere have equal bases and equal volumes the ratio...

    Text Solution

    |

  20. A cone, a hemisphere and a cylinder stand on equal bases and have th...

    Text Solution

    |