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2. An inverted conical water tank with a height of 12 ft and a radius of 4 ft is drained through a hole in the vertex at the bottom. If the water level drops at 2 ft/min, at what rate is water (in ft /min) draining from the tank when the water depth is 6 ft? (Hint: Use similar triangles.)

2. An inverted conical water tank with a height of 12 ft and a radius of 4 ft is drained through a hole in the vertex at the bottom. If the water level drops at 2 ft/min, at what rate is water (in ft /min) draining from the tank when the water depth is 6 ft? (Hint: Use similar triangles.)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 41E: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can...
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2. An inverted conical water tank with a height of 12 ft and a radius of 4 ft is drained through a hole in the vertex at the bottom. If the water level drops at 2 ft/min, at what rate is water (in ft /min) draining from the tank when the water depth is 6 ft? (Hint: Use similar triangles.)
Transcribed Image Text:2. An inverted conical water tank with a height of 12 ft and a radius of 4 ft is drained through a hole in the vertex at the bottom. If the water level drops at 2 ft/min, at what rate is water (in ft /min) draining from the tank when the water depth is 6 ft? (Hint: Use similar triangles.)
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