A conical cavity in a hemisphere

A conical cavity in a hemisphere

Secondary 2
TGM Original Questions

A hemisphere has radius 8 cm. A conical cavity of base radius 6 cm and perpendicular height 8 cm is bored through its flat face toward the bottom. Find

  1. the cone slant height,

  2. the remaining volume in terms of \(\pi\).

Solution:

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Answer:(a) \(10\) cm; (b) \(736\pi/3\text{ cm}^3\).

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