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A hemisphere of lead of radius 8cm is...

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.

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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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