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An open cone is filled completely with water and is oriented with its vertex facing downward....

An open cone is filled completely with water and is oriented with its vertex facing downward. The cone has a base diameter of 6 inches and a height of 12 inches. Assume the cone starts leaking water from its vertex at a constant rate of 3? in3/hr.

a.Find an equation for the volume of water in this cone in terms of the height only.

b.Find the height of the water in the cone four hours after the water started leaking.

c.Using correct units, find the rate of change in the height of the water in the cone at the time from 2b.

d.Using correct units, find the change of the cross-sectional area of the top of the water in the cone at the time from 2b.

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Expert Solution

milcah answered 2 years ago
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