Answer :

Given: Area of the base of a right circular cone is 154 cm2.


Height of the cone is 14 cm.


Curved surface area of a cone is : πrl (here r and l are radius and slant height respectively)


Area of the base is given by: πr2


π × r2 = 154


r2 = = 49


r = 49 = 7cm


radius of the base of the cone is 7cm


Now,


l = √(r2 + h2)


πrl = πr√(r2 + h2)


Let S be the CSA of the cone.


S = πr√(r2 + h2)


S = π × (7) × √((7)2 + (14)2)


S = π × (7) × √(49 + 196) = π × (7) × √(245)


S = π × (7) × 7√5 = × 7 × 7√5 = 154√5


S = 154√5 cm2


That is CSA of the cone is 154√5 cm2

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigo Marathon Part 2Trigo Marathon Part 2Trigo Marathon Part 245 mins
Trigo Marathon Part 1Trigo Marathon Part 1Trigo Marathon Part 146 mins
Application of Trigo Important QuestionsApplication of Trigo Important QuestionsApplication of Trigo Important Questions44 mins
Arithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of AP55 mins
Chemical Properties of Metal and Non MetalChemical Properties of Metal and Non MetalChemical Properties of Metal and Non Metal61 mins
Purification of MetalsPurification of MetalsPurification of Metals60 mins
Extraction of MetalExtraction of MetalExtraction of Metal56 mins
Properties of Metal and Non MetalProperties of Metal and Non MetalProperties of Metal and Non Metal59 mins
Introduction of Metal and Non MetalIntroduction of Metal and Non MetalIntroduction of Metal and Non Metal59 mins
Heights and Distances - IHeights and Distances - IHeights and Distances - I54 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