A plastic sector whose radius is 10cm is rolled up into a conical cup such that the depth of the cup is 8cm. a. Find the radius of the cup b. Find central angle of the sector c. Find the lateral area of the cup.  d. Suppose the cup is filled with water to a height of 5cm. In cubic centimaters, how much more water can be put into the cup without overflowing.

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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A plastic sector whose radius is 10cm is rolled up into a conical cup such that the depth of the cup is 8cm.

a. Find the radius of the cup

b. Find central angle of the sector

c. Find the lateral area of the cup. 

d. Suppose the cup is filled with water to a height of 5cm. In cubic centimaters, how much more water can be put into the cup without overflowing. 

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