The radius of a sphere is increasing at a rate of 4mm/s. How fast (in mm³/s) is the volume increasing when the diameter is 80 mm? The volume of a sphere with radius 4 3 ris V = ½πr³ Is your answer positive of negative? In the box, write "positive" or "negative". Then explain on your written work why this does or does not make sense.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The radius of a sphere is increasing at a rate of 4mm/s. How fast (in mm³/s) is the
volume increasing when the diameter is 80 mm? The volume of a sphere with radius
4 3
ris V = ½πr³
Is your answer positive of negative? In the box, write "positive" or "negative". Then
explain on your written work why this does or does not make sense.
Transcribed Image Text:The radius of a sphere is increasing at a rate of 4mm/s. How fast (in mm³/s) is the volume increasing when the diameter is 80 mm? The volume of a sphere with radius 4 3 ris V = ½πr³ Is your answer positive of negative? In the box, write "positive" or "negative". Then explain on your written work why this does or does not make sense.
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