when will the tank be empty? r 5. Consider the initially full hemispherical water tank of Ex- ample 8, except that the radius of its circular bottom hole is now unknown. At 1 P.M. the bottom hole is opened and at 1:30 P.M. the depth of water in the tank is 2 ft. (a) Use Torricelli's law in the form dV/dt = -(0.6)лr² √√2gy (taking constriction into account) to determine when the tank will be empty. (b) What is the radius of the bottom hole?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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when will the tank be empty?
r
5. Consider the initially full hemispherical water tank of Ex-
ample 8, except that the radius of its circular bottom hole
is now unknown. At 1 P.M. the bottom hole is opened and
at 1:30 P.M. the depth of water in the tank is 2 ft. (a) Use
Torricelli's law in the form dV/dt = -(0.6)лr² √√2gy
(taking constriction into account) to determine when the
tank will be empty. (b) What is the radius of the bottom
hole?
Transcribed Image Text:when will the tank be empty? r 5. Consider the initially full hemispherical water tank of Ex- ample 8, except that the radius of its circular bottom hole is now unknown. At 1 P.M. the bottom hole is opened and at 1:30 P.M. the depth of water in the tank is 2 ft. (a) Use Torricelli's law in the form dV/dt = -(0.6)лr² √√2gy (taking constriction into account) to determine when the tank will be empty. (b) What is the radius of the bottom hole?
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