You are blowing air into a spherical balloon at a rate of 4pi/3 cubic inches per second. (The reason for this strange looking rate is that it will simplify your algebra a little.) Assume the radius of your balloon is zero at time zero. Let r(t), A(t), and V(t) denote the radius, the surface area, and the volume of your balloon at time t, respectively. (Assume the thickness of the skin is zero.) All of your answers below are expressions in t:

Question

anonymous · Answer

r'(t) = (in inches per second)
A't = (square inches per second)