An inverted conical water tank with a height of 18 ft and a radius of 9 ft is drained through a hole in the vertex at a rate of 8 ft /s (see figure). What is the rate of change of the water depth when the water depth is 5 ft? (Hint. Use similar triangles.) 9 ft 18 ft When the water depth is 5 ft, the rate of change of the water depth is about ft/s. (Round to the nearest hundredth as needed.) Qutflow 8 A ls

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Chapter9: Surfaces And Solids
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please show the work so that I can follow along and practice. i have been working on this same problem for HOURS and cannot get the right answer!

An inverted conical water tank with a height of 18 ft and a radius of 9 ft is drained through a hole in the vertex at a rate of 8 ft /s (see
figure). What is the rate of change of the water depth when the water depth is 5 ft? (Hint. Use similar triangles.)
9 ft
18 ft
When the water depth is 5 ft, the rate of change of the water depth is about
ft/s.
(Round to the nearest hundredth as needed.)
Qutflow 8 A ls
Transcribed Image Text:An inverted conical water tank with a height of 18 ft and a radius of 9 ft is drained through a hole in the vertex at a rate of 8 ft /s (see figure). What is the rate of change of the water depth when the water depth is 5 ft? (Hint. Use similar triangles.) 9 ft 18 ft When the water depth is 5 ft, the rate of change of the water depth is about ft/s. (Round to the nearest hundredth as needed.) Qutflow 8 A ls
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