A spherical tank of radius a is partly filled with water. The maximum depth of water in the tank is


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

(a) y = 7 ft

(b) y = 3 ft

Price: $2.99
Solution: The solution file consists of 2 pages
Deliverables: Word Document

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