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 Form 2 Mathematics Topical Questions and Answers on Similarity and Congruence

The diagram below represents a cone of height 12cm and a base radius of 9cm from which a similar smaller cone is removed, leaving a conical hole of height 4 cm.
(a). calculate:
(i) the base radius of conical hole.
(ii). The volume, terms of #pi#, of the smaller cone that was removed.
(b) (i) determine slant height of the original cone.
ii). Calculate, in terms of #pi#, the surface area of the remaining solid after the smaller cone is removed.

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