A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone, correct to two places of decimal.

Explanation

To solve the problem, we need to find the height of a cone that is formed by casting a hemisphere of lead. We know the radius of the hemisphere and the radius of the cone.

### Step-by-Step Solution:

1. **Identify the given values:**
- Radius of the hemisphere (r_hemisphere) = 8 cm
- Radius of the cone (r_cone) = 6 cm

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