Correct Answer - Option 2 : 0.07 m

**Given:**

Radius of sphere = 14 cm

Radius of cone = 7 cm

Height of cone = h

Number of cones formed = 32

**Formula Used:**

Volume of sphere = 4/3 × πR^{3}

Volume of cone = 1/3 × πr^{2}h

**Calculation:**

Volume of sphere = 4/3 × πR^{3}

⇒ 4/3 × π × 14^{3}

Volume of cone = 1/3 × πr^{2}h

⇒ 1/3 × π × 7^{2} × h

According to question –

⇒ 4/3 × π × 14^{3} = 32 × 1/3 × π × 7^{2} × h

⇒ (4 × 14^{3}) = 32 × 7^{2} × h

⇒ h = 7 cm

⇒ h = 0.07 m

**∴ The height of the cone (h) is 0.07 m.**