3. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius,
The total height of the toy is 15.5 cm. Find the total surface area of the toy.
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Answer:
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 l
2
=h
2
+b
2
)
Therefore C.S.A. of cone =π×3.5×12.5
=137.5cm
2
Surface area of hemisphere =2πr
2
=2×π×(3.5)
2
=77cm
2
Hence T.S.A of toy =77+137.5=214.5 cm
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