Answer:
See below ↓↓
Step-by-step explanation:
Formulas to keep in mind
- Volume (cone) = 1/3πr²h
- Volume (sphere) = 4/3πr³
Solving
- It's given in the question that the volumes are equal and height of the cone is 96 units
- Equate the volumes and substitute the value of h
⇒ 1/3πr₁²h = 4/3πr₂³
⇒ r₁² x 96 = 4 x r₂³
⇒ r₂³ / r₁² = 24
⇒ r₂ (Radius of sphere) = 2.88 units
⇒ r₁ (Radius of cone) = 1 unit
