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 Inflow 4 m'/min ah?(3r-h) the bottom of the tank? (Hint: The volume of a cap of thickness h sliced from a sphere of radius r is 9 m (Type an exact answer, usinga as needed.) Differentiate both sides of the equation with respect to t. dV 162rh - 9xh2 | dh dt dt (Type an exact answer, using a 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 0.157 m/min. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

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 Inflow 4 m'/min ah?(3r-h) the bottom of the tank? (Hint: The volume of a cap of thickness h sliced from a sphere of radius r is 9 m (Type an exact answer, usinga as needed.) Differentiate both sides of the equation with respect to t. dV 162rh - 9xh2 | dh dt dt (Type an exact answer, using a 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 0.157 m/min. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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