Answer :

The toy is in the form of a cone mounted on a hemisphere.


Total height of toy = h = 31 cm


Radius of toy = r = 7 cm


Surface area of hemispherical part toy = 2πr2


= 2 × 22/7 × 72 cm2


= 308 cm2


Height of conical part of toy = hcone = Total height of toy – Radius of toy


Height of conical part of toy = hcone = 31 – 7 = 24 cm


Let the slant height of the conical part be l


l2 = hcone2 + r2


l2 = 242 + 72 = 576 + 49 cm2 = 625 cm2


l = 25 cm


Surface area of conical part of toy = πrl


= 22/7 × 7 × 25 cm2


= 550 cm2


Total surface area of toy = Surface area of hemispherical part of toy + Surface area of conical part of toy


Total Surface area of toy = 308 cm2 + 550 cm2 = 858 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
Introduction of Metal and Non MetalIntroduction of Metal and Non MetalIntroduction of Metal and Non Metal59 mins
Properties of Metal and Non MetalProperties of Metal and Non MetalProperties 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