Related Rates Conical Tank

Question

Water is pumped into an inverted conical tank at a rate of $$5\,	ext{m}^3/	ext{min}$$. The tank has a height of 10 m and a radius of 3 m at its top. What is the rate at which the water level is rising when the water is 4 m deep?

Accepted Answer

Approximately $$\frac{125}{36\pi}\,	ext{m/min}\, (	ext{about } 1.10\,	ext{m/min})$$.

Answer

Approximately $$\frac{125}{36}\,	ext{m/min}$$.

Answer

Approximately $$\frac{5}{16\pi}\,	ext{m/min}$$.

Answer

Approximately $$\frac{5}{9\pi}\,	ext{m/min}$$.

Related Rates Conical Tank

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