Home
Class 10
MATHS
Write whether the following statements a...

Write whether the following statements are true or false :
(ii) The radius of base , height and slant height of a solid right circular cone are r unit h unit and l unit respectively . The base of the cone is joint along the base of solid right circular cylinder. If the radii of the bases and heights of the cylinder and of the cone be equal , then the total surface area of the joint solid object will be `(pirl + 2pirh +2 pir^(2))` sq - unit

Text Solution

Verified by Experts

Since the radius of the base of the cone is r unit and its slant height is l unit .
` :.` curved surface area = ` pi rl ` sq- unit
Again , the radius of the cylinder is r unit and height is h unit .
` :. ` the surface area of the solid object ` = (pi rl + 2pirh + pir^(2))` wq- unit

Promotional Banner

Topper's Solved these Questions

  • PROBLEMS RELATED TO DIFFERENT SOLIDS AND OBJECTS

    CALCUTTA BOOK HOUSE|Exercise Exercise -5 (Multiple choice question )|5 Videos
  • PROBLEMS RELATED TO DIFFERENT SOLIDS AND OBJECTS

    CALCUTTA BOOK HOUSE|Exercise Write true or false|2 Videos
  • PARTNERSHIP BUSINESS

    CALCUTTA BOOK HOUSE|Exercise LONG ANSWER TYPE QUESTIONS|17 Videos
  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos

Similar Questions

Explore conceptually related problems

If the base radius and height of a right circular cone are r and h respectively, then the volume of the cone is

If the radius of the base of a cylinder be r units and the height of the cylinder be h units, then the total surface area of the cylinder is

If the volume, base area and height of a right circular cone are V cu unit, A sq.unit ant H unit respectively, then find the value of (AH)/V .

If the base radius and height of a right circular cone are 2R and H respectively, then the area of total surface of the cone is

The base diameter and height of a right circular cone arc 21 m and 14 m respectively. Calculate the volume of the cone.

The length of base diameter and height of a right circular cone are 16 cm and 17 cm respectively. Find the volume of the cone.

The volume of a right circular cylinder is 2 pi r h sq- units, where r = radius of the base and h = height of the cylinder.

Write True or False Height, radius and slant height of a right circular cone are the sides of the right angled triangle.

Write True or False : If the volume and the base area of solid right circular cone are V cu.unit and A sq.unit respectively the its height is (3V)/A unit.

The radius of base and height of a right circular cones are 14 cm and 20 cm respectively . What will be the curved surface area of the greatest right circular cylinder inscribed into the cone ?

CALCUTTA BOOK HOUSE-PROBLEMS RELATED TO DIFFERENT SOLIDS AND OBJECTS -Long - answer type questions (LA):
  1. Write whether the following statements are true or false : (ii) The...

    Text Solution

    |

  2. A conical pot of internal radius 5 cm and height 24 cm is filled with ...

    Text Solution

    |

  3. If a right circular wooden piece of equal height and radius be cut of...

    Text Solution

    |

  4. A part of an iron -pillar is a right circular cylindrical shaped and...

    Text Solution

    |

  5. A right circular cone is made by melting a piece of metal right cylin...

    Text Solution

    |

  6. The lower part of a radius tent is a right circular cylinder and its ...

    Text Solution

    |

  7. What will be the volume of an open conical cup made by bending a semic...

    Text Solution

    |

  8. The radii of the two ends of a pail of height 45 cm ar 28 cm and 7 cm ...

    Text Solution

    |

  9. How many centimetres the water - level of a partly filled cylindrical...

    Text Solution

    |

  10. The height of a right circular cylindrical icecream box of radius 6 ...

    Text Solution

    |

  11. If the height of the cylinder is 9 cm and its radius of base is 7 cm...

    Text Solution

    |

  12. Both ends of right circular cylindrical tank are semicircular . If di...

    Text Solution

    |

  13. A sphere is inscribed in a right circular cylinder . Prove that th...

    Text Solution

    |

  14. A right circular cone of same radius is made by melting a right circu...

    Text Solution

    |

  15. The internal and external diametres of a hollow sphere are 6 cm and 10...

    Text Solution

    |

  16. The radius of base and height of a right circular cones are 14 cm an...

    Text Solution

    |

  17. 6 equal spheres are made by melting a iron - rod of radius 8 cm . I...

    Text Solution

    |

  18. The length , breadth and height of a rectangular paralelopiped are 1...

    Text Solution

    |

  19. The volume of a cube is 8a^(3) , the diameter of a sphere is equal...

    Text Solution

    |

  20. The diagonal of the base of a cube is 2 decimetre . At least how many...

    Text Solution

    |

  21. A solid sphere of diameter 6 dcm is reduced to a pipe of length 4 dc...

    Text Solution

    |