CPM Homework Help : CALC Problem 7-52

Step 1(a):

Using just geometry (no Calculus), find the equation for a generic spherical balloon.

$V=\frac{4}{3}\pi r^{3}$

Step 2(a):

Step 3(a):

Substitute the given information and solve.

Hint (b):

$\text{Find }\frac{dr}{dt}, \text{ you will need that information later.}$

Step 1(b):

Using just geometry, write the equation for the Surface Area of a generic spherical balloon: A = 4πr²

Step 2-3(b):

Hint (c):

What does a negative rate represent?