Sand is taken out from its container at the rate of 104 cm/min. By the same pace, the sand is then put in a vertical circular cone with increasing rate of radius 2 cm/min. If when 30 cm' of sand was taken out, the radius of the cone is 6 cm. Find the increasing rate of the height of the sand at that time.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
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Sand is taken out from its container at the rate of 104 cm/min. By
the same pace, the sand is then put in a vertical circular cone with
increasing rate of radius 2 cm/min. If when 30 cm of sand was
taken out, the radius of the cone is 6 cm. Find the increasing rate of
the height of the sand at that time.
Transcribed Image Text:Sand is taken out from its container at the rate of 104 cm/min. By the same pace, the sand is then put in a vertical circular cone with increasing rate of radius 2 cm/min. If when 30 cm of sand was taken out, the radius of the cone is 6 cm. Find the increasing rate of the height of the sand at that time.
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