Homework SourseA spherical weather balloon has sprung a leak The helium ins
A spherical weather balloon has sprung a leak. The helium inside the balloon is leaking out at a rate of 4 cubic centimeters per minute. How fast is the radius of the balloon decreasing when the the balloon is 100 cm across?
Solution
dV/dt = 4cm^3/min = 4r^2*(dr/dt)
Therefore
(dr/dt) = 4/( 4*(100)^2)
= 3.18*10^-5 cm/min
