As Khalid inflates a spherical balloon, Kareem wonders about its different rates. He knows that the rate at which Khalid blows is equal to the rate at which the volume changes
, find the rate of change of the radius, , when cm.
Using just geometry (no Calculus), find the equation for a generic spherical balloon.
Substitute the given information and solve.
, find the rate of change of the surface area, , when cm.
, you will need that information later.
Using just geometry, write the equation for the Surface Area of a generic spherical balloon:
Describe what happens to the balloon when
What does a negative rate represent?