A SPHERICAL BALLON IS INFLATED WITH GAS AT A RATE 600 CUBIC METERS PER MINUTE

Question

parthkohli · Answer

OMG really? Wow! :-O

parthkohli · Answer

@mikered006 Hey, welcome to OS. Please ask the full question :-P

anonymous · Answer

A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute.
 (a) How fast is the radius of the balloon changing at the instant the radius is 30 centimeters
How fast is the radius of the balloon changing at the instant the radius is 80 centimeters

anonymous · Answer

The total derivative of the sphere's volume expression$$V=\frac{4 \pi  r^3}{3} $$is$$dV=4 \pi  r^2 dr $$Plug in the numbers and solve for dr.