Question

A toy is in the form of a cone of radius 3.5cm mounted on a hemisphere of same radius . The total height of the toy is 15.5cm . Find the total surface area of the toy​

Answer 1

=> Total surface area of toy =  Curved surface area of cone +  surface area of hemisphere

=> Curved  surface area of cone = πrl

=> Where r = 3.5cm, Height = 15.5 − 3.5 = 12cm

=> And hence, l = 12.5cm       (by using formula l2 = h2 + b2)

=> Therefore C.S.A. of cone = π × 3.5 × 12.5

=137.5cm2

Surface area of hemisphere =2πr2

=2×π×(3.5)2

=77cm2

Hence T.S.A of toy = 77 + 137.5 = 214.5cm2

I hope this will help you dear..

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