Solve the problem.
-Imagine a large tank with cross-sectional area A. The bottom of the tank has a circular drain with cross-sectional area a. Assume the tank is initially filled with water to a height h(0) = H. The height of the water as it flows out of the tank is described by the equation where is the acceleration due to gravity. Find the water height function for Then determine the approximate time at which the tank is first empty. If necessary, round to two decimal places.

Question

Solve the problem.
-Imagine a large tank with cross-sectional area A. The bottom of the tank has a circular drain with cross-sectional area a. Assume the tank is initially filled with water to a height h(0) = H. The height of the water as it flows out of the tank is described by the equation   where    is the acceleration due to gravity. Find the water height function for       Then determine the approximate time at which the tank is first empty. If necessary, round to two decimal places.

Quizplus · Accepted Answer

The Answer of Solve the problem.
-Imagine a large tank with cross-sectional area A. The bottom of the tank has a circular drain with cross-sectional area a. Assume the tank is initially filled with water to a height h(0) = H. The height of the water as it flows out of the tank is described by the equation   where    is the acceleration due to gravity. Find the water height function for       Then determine the approximate time at which the tank is first empty. If necessary, round to two decimal places.

Solve the Problem. -Imagine a Large Tank with Cross-Sectional Area A. the Bottom