The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume (in in³/min) when r = 11 inches and when r = 38 inches. in³/min r = 11 in r = 38 in dr (b) Explain why the rate of change of the volume of the sphere is not constant even though is constant. dt O O If If dr 의 dt dt dt dr dt Need Help? is constant, is constant, is proportional to ². is constant, is constant, dv dt Read It dv dr in³/min dv dt dv dr is proportional to t². is equal to r². is equal to t².
The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume (in in³/min) when r = 11 inches and when r = 38 inches. in³/min r = 11 in r = 38 in dr (b) Explain why the rate of change of the volume of the sphere is not constant even though is constant. dt O O If If dr 의 dt dt dt dr dt Need Help? is constant, is constant, is proportional to ². is constant, is constant, dv dt Read It dv dr in³/min dv dt dv dr is proportional to t². is equal to r². is equal to t².
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Transcribed Image Text:The radius r of a sphere is increasing at a rate of 4 inches per minute.
(a) Find the rate of change of the volume (in in³/min) when r = 11 inches and when r = 38 inches.
in³/min
r = 11 in
r = 38 in
dr
(b) Explain why the rate of change of the volume of the sphere is not constant even though is constant.
dt
O
O
O
O
dr
If is constant,
dt
If
dr
dt
|
dt
is constant,
is constant,
is constant,
Need Help? Read It
dv
dt
dv
dr
dv
dt
in³/min
dv
dr
is proportional to r².
- is proportional to t².
is equal to r².
is equal to t².
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