(The clepsydra, or water clock) A 12 h water clock is to be designed with the dimensions shown in Fig. 1.4.10, shaped like the surface obtained by revolving the curve y = f(x) around the y-axis. What should this curve be, and what should the radius of the circular bottom hole be, in order that the water level will fall at the constant rate of 4 inches per hour (in./h)? 4 ft `y=f(x) or x= g(y) Water flow FIGURE 1.4.10. The clepsydra.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 90E
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(The clepsydra, or water clock) A 12 h water clock is to
be designed with the dimensions shown in Fig. 1.4.10,
shaped like the surface obtained by revolving the curve
y = f(x) around the y-axis. What should this curve be,
and what should the radius of the circular bottom hole be,
in order that the water level will fall at the constant rate of
4 inches per hour (in./h)?
4 ft
`y=f(x)
or
x= g(y)
Water flow
FIGURE 1.4.10. The clepsydra.
Transcribed Image Text:(The clepsydra, or water clock) A 12 h water clock is to be designed with the dimensions shown in Fig. 1.4.10, shaped like the surface obtained by revolving the curve y = f(x) around the y-axis. What should this curve be, and what should the radius of the circular bottom hole be, in order that the water level will fall at the constant rate of 4 inches per hour (in./h)? 4 ft `y=f(x) or x= g(y) Water flow FIGURE 1.4.10. The clepsydra.
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