The height of water in a cylindrical storage tank decreases at a rate proportional to √h(t) where h(t) is the depth of water. The tank takes 10 minutes to drain if the initial height of water is 0.5 m. Determine the time for the tank to drain if the initial height is 2 m.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The height of water in a cylindrical storage tank decreases at a rate proportional
to √h(t) where h(t) is the depth of water. The tank takes 10 minutes to drain
if the initial height of water is 0.5 m. Determine the time for the tank to drain
if the initial height is 2 m.
Transcribed Image Text:The height of water in a cylindrical storage tank decreases at a rate proportional to √h(t) where h(t) is the depth of water. The tank takes 10 minutes to drain if the initial height of water is 0.5 m. Determine the time for the tank to drain if the initial height is 2 m.
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