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.

Radius of cone = 3.5 cm
Height of cone = 15.5 – 3.5 = 12 cm
Radius of hemisphere = 3.5 cm
Slant height of cone (l)
= √r² +h² = √((3.5)² + (12)²) = √(12.25 + 144) = √(156.25) = 12.5
The total surface area of the toy
= CSA of cone + CSA of hemisphere
= πrl + 2πr²
= 22/7 × 3.5 × 12.5 + 2 × 22/7 ×3.5²
= 137.5 + 77
= 214.5 cm²
Hence, the total surface area of the toy is 572 cm²