Little Susie is enjoying a nice spherical lollipop. She sucks the lollipop in such a way that the circumference decreases by 1 centimeter per minute. How fast is the volume of her lollipop changing when the lollipop has a radius of 5 centimeters?

Question

anonymous · Answer

V = (4/3)pi r^3
dV/dt = 4pi r^2 (dr/dt) 

dC/dt = 2pi (dr/dt) 
dr/dt = (1/2pi) dC/dt 

dV/dt = (4pi/2pi)(5)^2 (-1) 
dV/dt = -2*5^2*1 = - 50 cubic centimeters/minute

anonymous · Answer

ho-leee crap. a ten centimeter wide spherical lollipop? i gotta get me one of those... :P