Water is flowing at a rate of 50 cubic meters per minute from a concrete conical reservoir. The radius of the reservoir is 45 m and the height is 6 m. How fast is the radius of the water's surface changing when the water is 5 meters deep?

Question

Water is flowing at a rate of 50 cubic meters per minute from a concrete conical reservoir.  The radius of the reservoir is 45 m and the height is 6 m.  How fast is the radius of the water's surface changing when the water is 5 meters deep?

precal · Answer

@SithsAndGiggles

precal · Answer

Do I use the volume formula?

anonymous · Answer

Looks to me like another similar triangles problem.

precal · Answer

h is constant, correct h=5 so I am looking for dr/dt

precal · Answer

$$\frac{ h }{ r }=\frac{ 6 }{ 45 }$$

anonymous · Answer

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