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A hemispherical tank with a radius of 9 m is filled from an inflow pipe at a rate of 4 m° / min (see figure). How fast is the water level rising when the water level is 8 m from the bottom of the tank? (Hint: The volume of a cap of thickness h sliced Inflow 4 m /min nh (3r - h) :) 9 m from a sphere of radius r is 3

A hemispherical tank with a radius of 9 m is filled from an inflow pipe at a rate of 4 m° / min (see figure). How fast is the water level rising when the water level is 8 m from the bottom of the tank? (Hint: The volume of a cap of thickness h sliced Inflow 4 m /min nh (3r - h) :) 9 m from a sphere of radius r is 3

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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3.9.39 Question Help A hemispherical tank with a radius of 9 m is filled from an inflow pipe at a rate of 4 m° / min (see figure). How fast is the Inflow 4 m' /min water level rising when the water level is 8 m from the bottom of the tank? (Hint: The volume of a cap of thickness h sliced h?(3r-h) 9 m from a sphere of radius r is -) 3 Let V be the volume of water in the tank and let h be the depth of the water. Write an equation that relates V and h. ah (27 - h) V= 3 (Type an exact answer, using n as needed.) Differentiate both sides of the equation with respect to dV 162th – 9nh 2 dh dt 9 dt (Type an exact answer, using n as needed.) When the water level is 8 m from the bottom of the tank, the water level is rising at a rate of about 0.016 m/min. (Round to three decimal places as needed.)
Transcribed Image Text:3.9.39 Question Help A hemispherical tank with a radius of 9 m is filled from an inflow pipe at a rate of 4 m° / min (see figure). How fast is the Inflow 4 m' /min water level rising when the water level is 8 m from the bottom of the tank? (Hint: The volume of a cap of thickness h sliced h?(3r-h) 9 m from a sphere of radius r is -) 3 Let V be the volume of water in the tank and let h be the depth of the water. Write an equation that relates V and h. ah (27 - h) V= 3 (Type an exact answer, using n as needed.) Differentiate both sides of the equation with respect to dV 162th – 9nh 2 dh dt 9 dt (Type an exact answer, using n as needed.) When the water level is 8 m from the bottom of the tank, the water level is rising at a rate of about 0.016 m/min. (Round to three decimal places as needed.)
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ISBN:
9781337798310
Author:
Peterson, John.
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Cengage Learning,
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