A toy is in the form of a cone surmounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. 
Height of the cone =4 cm
Radius of the cone = radius of hemisphere = 3 cm
Volume of toy = Volume of conical part + Volume of hemispherical part
Volume of cone 
∴ Volume of conical part = 
= 37.6 cm2
Volume of hemisphere =
Volume of toy = 37.6 +56.52 = 94.12 cm2
And total surface area of toy = Curved surface area of conical part + Curved surface area of hemispherical part
Curved surface area of cone 
, Where l = 
= 3.14 × 3 × 
= 47.1 c
And curved surface area of hemisphere =2πr2
= 2 × 3.14 × 3 × 3
= 56.52 c
m2
Then, total surface area of the toy = 47.1 + 56.52 = 103.62 c
m2
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