Question 860002
{{{V=(4/3)pi*R^3}}}
Differentiate with respect to time.
{{{dV/dt=(4/3)pi*(3R^2)(dR/dt)}}}
{{{163.87=4*pi*R^2*dR/dt}}}
Now use the volume provided to find the radius at that instant.
{{{(4/3)pi*R^3=4916.12}}}
{{{R^3=1173.64}}}
{{{R=10.55}}}
{{{163.87=4*pi*(10.55)^2*(dR/dt)}}}
{{{dR/dt=0.117}}} cm/min