Question

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Answer 1

\[V=\frac43 \pi r^3\] dV/dt=5 cm^3/min
dV/dt=dV/dR * dR/dt
dR/dt=(dV/dt)/(dV/dR)

Answer 2

Found 2.98 x 10^-5

Answer 3

From V=(4/3)πr^3, dV/dr = 4πr^2
dV/dt = 5, r=10
dr/dt = (dV/dt)(dr/dV) = 5/(4π(10)^2)
I'm also getting 0.00398 cm/min.