Q. 94.0( 4 Votes )

A tent consists of a frustum of a cone capped by a cone. If the radii of the ends of the frustum be 13 m and 7 m, the height of the frustum be 8 m and the slant height of the conical cap be 12 m, find the canvas required for the tent.


Answer :

Height of the frustum, h = 8m


Radii of frustum are: r’ = 13m and r’’ = 7m


Let l be the slant height of the frustum




l = 10cm


Curved surface area of frustum, A’ = π (r’ + r’’) × l


= π (13 + 7) × 10


= 628.57 cm2


Slant height of the conical cap = 12m


Base radius of the cap = 7m


Curved surface of the cap, A’’ = πrl


= π × 7 × 12


= 264m2


Total canvas required = A’ + A’’


= 628.57 + 264


= 892.57 m2


Total canvas = 892.57 m2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and VolumesSurface Area and VolumesSurface Area and Volumes43 mins
RD Sharma | Imp Concepts : Surface Area And VolumesRD Sharma | Imp Concepts : Surface Area And VolumesRD Sharma | Imp Concepts : Surface Area And Volumes43 mins
IMP Formula's and Qs For Surface Area and VolumesIMP Formula's and Qs For Surface Area and VolumesIMP Formula's and Qs For Surface Area and Volumes45 mins
RD Sharma | Imp. Qs. From Surface Area And VolumesRD Sharma | Imp. Qs. From Surface Area And VolumesRD Sharma | Imp. Qs. From Surface Area And Volumes47 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes42 mins
Surface Area and VolumeSurface Area and VolumeSurface Area and Volume49 mins
Areas Related to CircleAreas Related to CircleAreas Related to Circle36 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
Foundation | Let's Understand Some High Level ConceptsFoundation | Let's Understand Some High Level ConceptsFoundation | Let's Understand Some High Level Concepts41 mins
Idioms and PhrasesIdioms and PhrasesIdioms and Phrases43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses