Let V = $\frac { 4 } { 3 }$ ? $r ^ { 3 }$ . Compute is $\frac { \mathrm { dV } } { \mathrm { dr } }$ $\mathrm { r } = 2$ .
A) $\frac { 32 } { 3 }$
B) $\frac { 16 \pi } { 9 }$
C) 16?
D) 8?
E) none of these

Question

Quizplus · Accepted Answer

The derivative of $V = \frac{4}{3} \pi r^3$ with respect to $r$ is $\frac{dV}{dr} = 4 \pi r^2$. Substituting $r = 2$ gives $\frac{dV}{dr} = 4 \pi (2)^2 = 16\pi$.

Let V = 43\frac { 4 } { 3 }34​ r3r ^ { 3 }r3

Let V = $\frac { 4 } { 3 }$ $r ^ { 3 }$