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 × πR3
Volume of cone = 1/3 × πr2h
Calculation:
Volume of sphere = 4/3 × πR3
⇒ 4/3 × π × 143
Volume of cone = 1/3 × πr2h
⇒ 1/3 × π × 72 × h
According to question –
⇒ 4/3 × π × 143 = 32 × 1/3 × π × 72 × h
⇒ (4 × 143) = 32 × 72 × h
⇒ h = 7 cm
⇒ h = 0.07 m
∴ The height of the cone (h) is 0.07 m.