Recall, the volume of a sphere is V=4/3πr^3. If the sphere is increasing in size over time, then we may treat volume and radius as functions of time. That is, V(t)=4/3π[r(t)]^3 Suppose the radius of the sphere is increasing at a constant rate of 1.5 centimeters per second. At the moment when the radius is 21 centimeters, the volume is increasing at a rate of__cubic centimeters per second.
Recall, the volume of a sphere is V=4/3πr^3. If the sphere is increasing in size over time, then we may treat volume and radius as functions of time. That is, V(t)=4/3π[r(t)]^3 Suppose the radius of the sphere is increasing at a constant rate of 1.5 centimeters per second. At the moment when the radius is 21 centimeters, the volume is increasing at a rate of__cubic centimeters per second.
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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Recall, the volume of a sphere is V=4/3πr^3. If the sphere is increasing in size over time, then we may treat volume and radius as functions of time. That is, V(t)=4/3π[r(t)]^3
Suppose the radius of the sphere is increasing at a constant rate of 1.5 centimeters per second. At the moment when the radius is 21 centimeters, the volume is increasing at a rate of__cubic centimeters per second.
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