Explanation: The total surface area of the toy can be calculated by taking the sum of the Curved surface area of cone and that of hemisphere of same radius.

Given total height of toy = H = 15.5 cm

Radius of hemisphere = Radius of cone = r = 3.5 cm

Now the height of cone = h = total height – radius of hemisphere

⇒ Height of cone = h = 15.5 – 3.5

∴ Height of cone = h = 12 cm

Let the slant height of the cone be ‘ℓ’ cm

Also we know that in a cone,

(Slant height)² = (Height)² + (Radius)²

⇒ ℓ² = 12² + 3.5² (putting the values)

⇒ ℓ² = 144 + 12.25

⇒ ℓ² = 156.25

⇒ ℓ = √(156.25)

∴ ℓ = 12.5 cm

C.S.A of cone = πrℓ

⇒ C.S.A of cone = π × 3.5 × 12.5 (putting the given values)

∴ C.S.A of cone = 43.75π m²→eqn1

C.S.A of hemisphere = 2πr²

⇒ C.S.A of hemisphere = 2 × π × 3.5²

= 2 × π × 12.25

= 24.5π m²→eqn2

Now total surface area of toy = eqn1 + eqn2

⇒ Total surface area of toy = 43.75π + 24.5π

= 68.25π

⇒Total surface area of toy (putting π= 22/7)

= 9.75 × 22

= 214.5 m²

The total surface area of toy is 214.5 m².