Question

The semicircle shown is folded to form a right circular cone so that the arc PQ becomes the circumference of the base. Given that the diameter of the semicircle, PQ, is 10 cm, find
(i) the diameter of the base,
(ii) the curved surface area of the cone.
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Answer 1

Answer:

You can put this solution

The arc PQ forms the circumference of the circlular base of the cone.

The circumference (C) of a circle is given by:

C+=+%28pi%29D Where D is the diameter and C+=+10cm. Solve this for D:

10+=+%28pi%29D Solve for D.

D+=+10%2Fpi