Answer :

The toy is in the shape of a right circular cylinder surmounted by a cone at one end a hemisphere at the other.


Total height of toy = 30 cm


Height of cylinder = h = 13 cm


Radius of cylinder = r = 5 cm


Curved surface area of cylinder = 2πrh


= 2 × 22/7 × 5 × 13 cm2


Height of cone = h’ = Total height of toy – Height of cylinder – Radius of hemisphere


Height of cone = h’ = 30 cm – 13 cm – 5 cm = 12 cm


Radius of cone = r = Radius of cylinder


Radius of cone = r = 5 cm


Let the slant height of cone be l


l2 = h’2 + r2


l2 = 122 + 52 cm2 = 144 + 25 cm2 = 169 cm2


l = 13 cm


Curved surface area of cone = πrl


= 22/7 × 5 × 13 cm2


Radius of hemisphere = r = Radius of cylinder


Radius of hemisphere = r = 5 cm


Curved surface area of hemisphere = 2πr2


= 2 × 22/7 × 5 × 5 cm2


Surface area of the toy = Surface area of cylinder + Surface area of cone + Surface area of hemisphere


Surface area of toy = 2πrh + πrl + 2πr2


= πr (2h + l + 2r)


= 22/7 × 5 × (2 × 13 + 13 + 2 × 5) cm2


= 22/7 × 5 × 49 cm2


= 770 cm2


Surface area of toy is 770 cm2


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