Suppose a snowball remains spherical while it melts, with the radius r shrinking at 3 inch(es) per hour. What is the numerical value of dr when r is 4? dt Units dt What is the rate of change of the surface area S when the radius is 4? ds dt Units What is the rate of change of the volume V when the radius is 4? dv dt Units Note that these are all numerical answers; in^2/hr = in²/hr and in^3/hr = in³/hr.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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Suppose a snowball remains spherical while it melts, with the radiusr shrinking at 3 inch(es) per hour.
What is the numerical value of dr when r is 4?
dr
Units
dt
What is the rate of change of the surface area S when the radius is 4?
ds
Units
dt
What is the rate of change of the volume V when the radius is 4?
AP
dt
Units v
Note that these are all numerical answers; in^2/hr = in?/hr and in^3/hr = in3/hr.
Transcribed Image Text:Suppose a snowball remains spherical while it melts, with the radiusr shrinking at 3 inch(es) per hour. What is the numerical value of dr when r is 4? dr Units dt What is the rate of change of the surface area S when the radius is 4? ds Units dt What is the rate of change of the volume V when the radius is 4? AP dt Units v Note that these are all numerical answers; in^2/hr = in?/hr and in^3/hr = in3/hr.
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