A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant rate of 4 cubic feet per minute. Find the rate at which the water level is rising when the water in the tank is 3 feet deep. When the water in the tank is 3 feet deep, what is the radius of the tank at that height? Use your formula that relates the variables, their rates of change, and the given rate of change to determine the rate at which the height of the water is changing when the water is 3 ft deep.

A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant rate of 4 cubic feet per minute. Find the rate at which the water level is rising when the water in the tank is 3 feet deep. When the water in the tank is 3 feet deep, what is the radius of the tank at that height? Use your formula that relates the variables, their rates of change, and the given rate of change to determine the rate at which the height of the water is changing when the water is 3 ft deep.

Name: A water tank has the shape of an inverted circular cone(point down) w
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Description: A water tank has the shape of an inverted circular cone(point down) with a base of radius 6 feet and a depth of8 feet. Suppose that water is being pumped into thetank at a constant rate of 4 cubic feet per minute. Findthe rate at which the water lev

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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