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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 π, of the smaller cone that was removed.
(b) (i) determine slant height of the original cone.
ii). Calculate, in terms of π, the surface area of the remaining solid after the smaller cone is removed.