5. A solid metal cylinder of radius 6 cm and height 15 cm is melted down and recast into a shape comprising a hemisphere surmounted by a cone. Assuming that 8% of the metal is wasted in the process, determine the height of the conical portion, if its diameter is to be 12 cm. (Ans. 29.4 cm)

5. A solid metal cylinder of radius 6 cm and height 15 cm is melted down and recast into a shape comprising a hemisphere surmounted by a cone. Assuming that 8% of the metal is wasted in the process, determine the height of the conical portion, if its diameter is to be 12 cm. (Ans. 29.4 cm)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

5. A solid metal cylinder of radius 6 cm and height 15 cm is
melted down and recast into a shape comprising a
hemisphere surmounted by a cone. Assuming that 8% of the
metal is wasted in the process, determine the height of the
conical portion, if its diameter is to be 12 cm. (Ans. 29.4
cm)
h
12 cm

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