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.
Solution:
Radius of Cone = r = 3.5 cm
Total Height of toy = 15.5 cm
Radius of Hemisphere = radius of cone = r= 3.5 cm
Height of Cone =h=AO = Total height of toy-radius of hemisphere =15.5-3.5 =12 cm
In
, AO = h = Height of cone, we can apply Pythagoras Theorem to find slant height of cone.
Slant height of cone
cm
Total surface area of toy = Surface area of Cone + Surface area of Hemisphere
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