Question

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

Answer 1

214.5cm2 is the answer.

step by step:

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