Question
In: Math
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.
Solutions
milcah answered 2 years agoRelated Solutions
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A large storage tank, open to the atmosphere at the top and filled with water, develops...
A large storage tank, open to the atmosphere at the top and
filled with water, develops a small hole in its side at a point
13.9 m below the water level. If the rate of flow from the leak
is3.00 ✕ 10−3 m3/min, determine the
following.
(a) Determine the speed at which the water leaves the
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m/s
(b) Determine the diameter of the hole.
mm
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