A conical cavity in a hemisphere

A conical cavity in a hemisphere

Secondary 2
4 marks
TGM Original Questions

Core stretch

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]

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

    [2]

Solution:

Solution locked

Sign in to view the step-by-step solution

Please join our E Math programme to search for similar questions for more practice.

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

Need help? Join our JC Math tuition classes.

Learn more