A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 4 m^3/min (see figure). How fast is the water level rising when the water level is 6 m from the bottom of the tank? (Hint: The volume of a cap of thickness h sliced from a sphere of radius r is πh^2(3r−h)/3.)
A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 4 m^3/min (see figure). How fast is the water level rising when the water level is 6 m from the bottom of the tank? (Hint: The volume of a cap of thickness h sliced from a sphere of radius r is πh^2(3r−h)/3.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 47RE
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A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 4 m^3/min (see figure).
How fast is the water level rising when the water level is 6 m from the bottom of the tank?
(Hint: The volume of a cap of thickness h sliced from a sphere of radius r is πh^2(3r−h)/3.)
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