A sector of radius 10 cm and angle is bent to form a conical cup as shown. becomes when

Chapter 17, Problem 19

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A sector of radius 10 cm and angle is bent to form a conical cup as shown. becomes when edges [AB] and [CB] are joined with tape. Suppose the resulting cone has base radius r cm and height h cm. a Show using the sector that arc AC = 18 . b Explain why r = 36 . c Show that h = q 100 36 2 . d Find the cones capacity V in terms of only. e Use technology to sketch the graph of V (). f Find when V () is a maximum.

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