Related rates

A

AGlas9837

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Jan 23, 2008
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If V is the volume of a sphere of radius r that is changing with respect to time and dr/dt is constant, is dV/dt constant?

I'm thinking that if the rate at which the radius is changing over time is constant, then the rate at which the volume is changing with respect to time would also be constant because they are related rates so the answer would be yes. Am I correct?
 
AGlas9837 said:
If V is the volume of a sphere of radius r that is changing with respect to time and dr/dt is constant, is dV/dt constant?

I'm thinking that if the rate at which the radius is changing over time is constant, then the rate at which the volume is changing with respect to time would also be constant because they are related rates so the answer would be yes. Am I correct?
Click to expand...

Does the volume of a sphere depend on any other variable - except the radius(or diameter)?

Write the equation of V(r) and dV/dt and investigate.
 
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