# Math Help - application: rate of change

1. ## application: rate of change

problem: A bacterial cell is spherical in shape. Find the rate of change of the volume of the cell with respect to the radius when the radius is
a) 1.5 µm (micrometers) b.) 2 µm

2. Originally Posted by cazimi
problem: A bacterial cell is spherical in shape. Find the rate of change of the volume of the cell with respect to the radius when the radius is
a) 1.5 µm (micrometers) b.) 2 µm

V = (4/3)*(pi)r^3

dV/dr = 3*(4/3)*(pi)r^2 = 4*(pi)r^2

-Dan