Answered: V(h) = π (h. - h² 3 h³ 27

Math

Calculus

V(h) = π (h. - h² 3 h³ 27

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

Problem 31WE

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a) A conical water tank (with the tip facing upwards) with a radius of 1 meter and height of 3 meters is emptied for water. Show that when the water height is h meters, where 0 ≤ h ≤ 3, the volume of water in the tank is given by image:

b) When the water height in the tank is 2 meters, the tank is emptied at a rate of 1/2 cubic meter per minute. How fast does the water depth decrease at this point in time?