Consider a conical-shaped tank with a small hole in the bottom through which liquid exits. In an instant, it was measured that the depth is 8 meters and the rate of change of depth is 0.3 m/s. At that same instant, the radius of the circle formed by the liquid surface is 6 meters and the rate of change of the radius is 0.3 m/s. What is the rate, in cubic meters per second, at which liquid is leaving the tank? Formula for the volume of a cone of height h and radius r:1/3 x πr^2h.
Consider a conical-shaped tank with a small hole in the bottom through which liquid exits. In an instant, it was measured that the depth is 8 meters and the rate of change of depth is 0.3 m/s. At that same instant, the radius of the circle formed by the liquid surface is 6 meters and the rate of change of the radius is 0.3 m/s. What is the rate, in cubic meters per second, at which liquid is leaving the tank? Formula for the volume of a cone of height h and radius r:1/3 x πr^2h.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 44RE
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Consider a conical-shaped tank with a small hole in the bottom through which liquid exits. In an instant, it was measured that the depth is 8 meters and the rate of change of depth is 0.3 m/s. At that same instant, the radius of the circle formed by the liquid surface is 6 meters and the rate of change of the radius is 0.3 m/s. What is the rate, in cubic meters per second, at which liquid is leaving the tank?
Formula for the volume of a cone of height h and radius r:1/3 x πr^2h.
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