An inverted conical water tank with a height of 12 ft and a radius of 3 ft is drained through a hole in the vertex. If the water level drops at a rate of 1 t/min, at what rate is water (in ftmin) draining from the tank when the water depth is 8 f1? (Hint: Use similar triangles.) O A. 4x t/min O B. 1nmin zn° min O D. 6x ft/min

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
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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An inverted conical water tank with a height of 12 ft and a radius of 3 ft is drained through a hole in the vertex. If the water level drops at a rate of 1 ft/min, at what rate is water (in ft'/min) draining from the tank when the water depth is 8 ft? (Hint: Use similar triangles.)
O A. 41 ft3 /min
O B. A tImin
2
OC.
O D. 67 ft/min
Transcribed Image Text:An inverted conical water tank with a height of 12 ft and a radius of 3 ft is drained through a hole in the vertex. If the water level drops at a rate of 1 ft/min, at what rate is water (in ft'/min) draining from the tank when the water depth is 8 ft? (Hint: Use similar triangles.) O A. 41 ft3 /min O B. A tImin 2 OC. O D. 67 ft/min
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