5π cubic feet per 2 A mixture is being being poured to an inverted conical tank at the rate of minute. If the tank has a depth of 12 feet and diameter of 16 feet, determine the rate at which the height of the mixture is increasing at the instant when it is 3 feet high. (The volume of a 1 cone isr²h, where r is the radius and h is the height.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 43AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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5T
cubic feet per
A mixture is being being poured to an inverted conical tank at the rate of
2
minute. If the tank has a depth of 12 feet and diameter of 16 feet, determine the rate at which
the height of the mixture is increasing at the instant when it is 3 feet high. (The volume of a
1
cone is r²h, where r is the radius and ʼn is the height.)
3
Transcribed Image Text:5T cubic feet per A mixture is being being poured to an inverted conical tank at the rate of 2 minute. If the tank has a depth of 12 feet and diameter of 16 feet, determine the rate at which the height of the mixture is increasing at the instant when it is 3 feet high. (The volume of a 1 cone is r²h, where r is the radius and ʼn is the height.) 3
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