How o do you determine the instantaneous rate of change of $V(r) = 4/3πr^3$ for $r= 5$ ?

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How o do you determine the instantaneous rate of change of $V(r) = 4/3πr^3$ for $r= 5$ ?

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Answer 1 · 2015-03-27T01:30:19

Firs evaluate the derivative of your volume (with respect to $r$ :
$V'(r)=(dV(r))/(dr)=(4/3)pi*3r^2$
Now substitute $r=5$ in it:
$V'(5)=(4/3)pi*3*25=100pi$

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How o do you determine the instantaneous rate of change of $V(r) = 4/3πr^3$ for $r= 5$ ?

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How o do you determine the instantaneous rate of change of V(r) = 4/3πr^3V(r) = 4/3πr^3 for r= 5r= 5?

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How o do you determine the instantaneous rate of change of $V(r) = 4/3πr^3$ for $r= 5$ ?