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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 2A: In order to make a conical duct, a circular sheet of metal is to be cut in the shape of a sector of...
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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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