Given
radius of cone (r) = 3.5 cm
Total height of toy (h) = 15.5 cm
height of cone (l) = 15.5 – 3.5
= 12 cm
As we know,
l2 = r2 + h2
= 3.52 + 122
The curved surface area of a cone,S’ = πrl
= π (3.5) (12.5)
= 137.5 cm2…….. (1)
The curved surface area of the hemisphere, S’’ = 2πr2
= 2π(3.5)2
= 77 cm2………… (2)
∴ Total surface area of the toy = 137.5 + 77 = 214.5 cm2