An inverted conical water tank with a height of 14 ft and a radius of 7 ft is drained through a hole in the vertex at a rate of 8 t'/s (soe figure). What is the rate of change of the water depth when the water depth is 3 t? (Hint Use similar triangles.) 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. V = (Type an exact answer, using x as needed.) Differentiate both sides of the equation with respect to t. 14 8 dv dh dt h dt When the water depth is 3 ft, the rate of change of the water depth is about (Round to the nearest hundredth as needed.) Outflow 8 '/,

An inverted conical water tank with a height of 14 ft and a radius of 7 ft is drained through a hole in the vertex at a rate of 8 t'/s (soe figure). What is the rate of change of the water depth when the water depth is 3 t? (Hint Use similar triangles.) 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. V = (Type an exact answer, using x as needed.) Differentiate both sides of the equation with respect to t. 14 8 dv dh dt h dt When the water depth is 3 ft, the rate of change of the water depth is about (Round to the nearest hundredth as needed.) Outflow 8 '/,

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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