Home
Class 14
MATHS
The height of a cone is equal to its bas...

The height of a cone is equal to its base radius and its volume is `72 pi cm^3`. What is its curved surface area in `cm^2` ?
एक शंकु की ऊंचाई इसके आधार की त्रिज्या के बराबर है तथा इसका आयतन `72 pi ` घन सेमी है | इसका वक्र पृष्ठ क्षेत्रफल ( घन सेमी में ) ज्ञात करें |

A

`72 sqrt2 pi`

B

`36 sqrt2 pi`

C

`48 sqrt2 pi`

D

`54 sqrt2 pi`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN, MEDIAN & MODE

    PINNACLE|Exercise EXERCISE|39 Videos
  • MIXTURE & ALLIGATION

    PINNACLE|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

The height of a right circular cone is 5 cm and its base radius is 12 cm. What is the curved surface area of the cone? एक लम्ब वृत्तीय शंकु की ऊंचाई 5 सेमी है तथा इसके आधार की त्रिज्या 12 सेमी है | इस शंकु का वक्र पृष्ठ क्षेत्रफल ज्ञात करें |

The height of a cone is 24 cm and the area of the base is 154 cm^2 . What is the curved surface area (in cm^2 ) of the cone? एक शंकु की ऊँचाई 24 से.मी. है तथा आधार का क्षेत्रफल 154 से.मी.^2 है। शंकु के वक्र पृष्ठिय क्षेत्रफल ( से.मी.^2 में) क्या है?

The diameter of the base of a right circular cone is 10 cm and its height is 12 cm. What is the total surface area (in cm^2 ) of the cone? एक लम्ब वृत्तीय शंकु के आधार का व्यास 10 सेमी है तथा इसकी ऊंचाई 12 सेमी है | इस शंकु का कुल पृष्ठ क्षेत्रफल ( वर्ग सेमी में ) कितना है ?

The base of a right prism is a triangle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm^3 , then its lateral surface area (in cm^2 ) is : एक लम्ब प्रिज्म का आधार एक त्रिभुज है जिसकी भुजाएं 20 सेमी, 21 सेमी और 29 सेमी की हैं | यदि इसका आयतन 7560 घन सेमी है, तो इसका पार्श्व पृष्ठ क्षेत्रफल ( वर्ग सेमी में ) ज्ञात करें |

A right prism has height 18cm and its base is a triangle with sides 5cm, 8cm and 12cm. What is the lateral surface area (in cm^2 )? एक लम्ब प्रिज्म की ऊंचाई 18 सेमी है तथा इसका आधार एक त्रिभुज है जिसकी भुजाएं 5 सेमी, 8 सेमी और 12 सेमी की हैं | पार्श्च पृष्ठ क्षेत्रफल (वर्ग सेमी में ) ज्ञात करें |

The area of the base of a right circular cone is 400 pi and its height is 15 cm. The curved surface area of the cone (in cm^2 ) is : एक लम्ब वृत्तीय शंकु के आधार का क्षेत्रफल 400 pi है और इसकी ऊंचाई 15 सेमी है | इस शंकु का वक्र पृष्ठ क्षेत्रफल ( वर्ग सेमी में ) है :

The radius of the base of a cylinder is 14cm and its volume is 6160 cm^3 . The curved surface area (in cm^2 ) of the cylinder is: (Take pi=22/7 ) एक सिलेंडर के आधार की त्रिज्या 14 cm है और इसका आयतन 6160 cm^3 है। सिलेंडर का वक्र पृष्ठीय क्षेत्रफल ( cm^2 में) क्या है?

The radius of a solid right circular cylinder is 66 2/3 % of its height. If height is h centimeters then its total surface area (in cm^2 ) is: ठोस लम्ब वृत्तीय बेलन की त्रिज्या इसकी ऊंचाई का 66 2/3 % है| यदि ऊंचाई h सेमी है, तो इसका कुल पृष्ठ क्षेत्रफल ( वर्ग सेमी में ) ज्ञात करें |

The base of a solid prism of height 10cm is a square and its volume is 160cm^3 , What is its total surface area of the prism (in cm^2 )? ऊंचाई 10 सेमी के एक ठोस प्रिज्म का आधार एक वर्ग है और इसकी आयतन 160cm^3 है, प्रिज्म की कुल सतह का क्षेत्रफल ( cm^2 में) क्या है

The area of the base of a right circular cone is 81 pi cm^2 and its height is 12cm. What is the curved surface area (in cm^2 ) of the cone ? एक गोलाकार शंकु के आधार का क्षेत्रफल 81 pi cm^2 सेमी है और इसकी ऊंचाई 12 cm है। शंकु का घुमावदार सतह क्षेत्रफल ( cm^2 में ) क्या है?

PINNACLE-MENSURATION-EXERCISE
  1. A reservoir is in the shape of a frustum of a right circular cone. The...

    Text Solution

    |

  2. 1000 solid spherical balls each of radius 0.6 cm are melted and recast...

    Text Solution

    |

  3. The height of a cone is equal to its base radius and its volume is 72 ...

    Text Solution

    |

  4. A wire, is in the form of a circle, encloses an area 3118.5 cm^2. It i...

    Text Solution

    |

  5. A copper wire of radius 0.5 mm and length 42 2/3 m is melted and conve...

    Text Solution

    |

  6. The diameter of the base of a right circular cone is 10 cm and its hei...

    Text Solution

    |

  7. The areas of three adjacent faces of a cuboid are 18 cm^2 , 20 cm^2 an...

    Text Solution

    |

  8. A wire encloses an area of 616 cm^2 when it is bent in the form of a c...

    Text Solution

    |

  9. The total surface area of a hollow cuboid is 340 cm^2. If the length a...

    Text Solution

    |

  10. The diameter of a right circular cylinder is decreased to one third of...

    Text Solution

    |

  11. How many cubes with a side 10 cm can be cut out of a cube having a sid...

    Text Solution

    |

  12. The radius of a circular garden is 42 m. The distance (in m) covered b...

    Text Solution

    |

  13. If the base radius of 2 cylinders are in the ratio 3:4 and their heigh...

    Text Solution

    |

  14. If the length of a rectangle is increased by 40% and the breadth is de...

    Text Solution

    |

  15. A race track is in the shape of a ring whose inner and outer circumfer...

    Text Solution

    |

  16. The curved surface area of a hemisphere with radius 7cm is: 7 सेमी त...

    Text Solution

    |

  17. The circumference of the base of a conical tent is 66 m. If the height...

    Text Solution

    |

  18. A cylindrical vessel of radius 30cm and height 42 cm is full of water....

    Text Solution

    |

  19. The area of field in shape of a regular hexagon is 2400 sqrt3 m^2.The ...

    Text Solution

    |

  20. The diagonal of a square A is (a+b) units. What is the area (in square...

    Text Solution

    |