Answer :


Explanation: The total surface area of the toy can be calculated by taking the sum of the Curved surface area of cone and that of hemisphere of same radius.


Given total height of toy = H = 15.5 cm


Radius of hemisphere = Radius of cone = r = 3.5 cm


Now the height of cone = h = total height – radius of hemisphere


Height of cone = h = 15.5 – 3.5


Height of cone = h = 12 cm


Let the slant height of the cone be ‘ℓ’ cm


Also we know that in a cone,


(Slant height)2 = (Height)2 + (Radius)2


2 = 122 + 3.52 (putting the values)


2 = 144 + 12.25


2 = 156.25


ℓ = √(156.25)


ℓ = 12.5 cm


C.S.A of cone = πrℓ


C.S.A of cone = π × 3.5 × 12.5 (putting the given values)


C.S.A of cone = 43.75π m2     eqn1


C.S.A of hemisphere = 2πr2


C.S.A of hemisphere = 2 × π × 3.52


= 2 × π × 12.25


= 24.5π m2      eqn2


Now total surface area of toy = eqn1 + eqn2


Total surface area of toy = 43.75π + 24.5π


= 68.25π


⇒The total surface area of toy (putting π= 22/7)


= 9.75 × 22


= 214.5 m2


The total surface area of the toy is 214.5 m2.

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
Extraction of MetalExtraction of MetalExtraction of Metal56 mins
Purification of MetalsPurification of MetalsPurification of Metals60 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
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 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