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.
Given radius of cone (r) = 3.5 cm
Total height of toy (h) = 15.5 cm
Length of cone (l) = 15.5 – 3.5
= 12 cm
Curved surface area of cone, S’ = πrl
= π (3.5) (12)
=132 cm2…….. (1)
Curved surface area of hemisphere, S’’ = 2πr2
= 2π(3.5)2
= 77 cm2………… (2)
∴ Total surface area of the toy = 132 + 77 = 209 cm2