A cone with hemispherical and conical removals

A cone with hemispherical and conical removals

Secondary 2
8 marks
TGM Original Questions

Optional extension

A cone has base radius 9 cm and height 12 cm. A hemispherical cavity of radius 3 cm is removed from its base. Use \(\pi=3.142\).

  1. Find the cone slant height.[2]
  2. Find remaining volume.[2]
  3. Find total exposed surface area.[2]
  4. A smaller similar cone of height 4 cm is then removed from the vertex; find its volume.[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) \(15\) cm (b) \(961.45\text{ cm}^3\) (c) \(706.95\text{ cm}^2\) (d) \(37.70\text{ cm}^3\).

Need help? Join our JC Math tuition classes.

Learn more