A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius of the outer ripple is increasing at a constant rate of 6 inches per second. When the radius is 4 feet, at what rate (in ft2/sec) is the total area A of the disturbed water changing

The rate of area of the disturbed water changing is 12.56

Explanation:

Given:

Radius increasing rate

Radius ft

Now we convert radius increasing rate into feet per second,

Here we have to find total area rate

Therefore, the rate of area of the disturbed water changing is 12.56

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