(All Steps) A spherical tank of radius a is partly filled with water. The maximum depth of water in the tank is y . A formula for the volume is V=1/3π
Question: A spherical tank of radius a is partly filled with water. The maximum depth of water in the tank is y . A formula for the volume is
\[V=\frac{1}{3}\pi {{y}^{2}}\left( 3a-y \right)\]Suppose that the water is being drained from a spherical tank of radius 5 ft at the rate of 100 gal/min. Find the rate at which the depth y is dcreasing when
- y = 7 ft
- y = 3 ft
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