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A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a depth of 9cm. If a 3cm side (edge) ice cube is added to the cup, use the total differential to decide the validity of the statement that the cup spills.

A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a depth of 9cm. If a 3cm side (edge) ice cube is added to the cup, use the total differential to decide the validity of the statement that the cup spills.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....
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A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a depth of 9cm. If a 3cm side (edge) ice cube is added to the cup, use the total differential to decide the validity of the statement that the cup spills.

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