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
. As the balloon inflates, other aspects are changing as well, such as the radius and the surface area. Homework Help ✎
= 10 , find the rate of change of the radius, , when r = 3 cm.
= 12 , find the rate of change of the surface area, , when r = 5 cm.
Describe what happens to the balloon when
Using just geometry (no Calculus), find the equation for a generic spherical balloon.
Substitute the given information and solve.
Using just geometry, write the equation for the Surface Area of a generic spherical balloon: A = 4πr²
What does a negative rate represent?