Problem $3-$ The School or Aeronautics is doing some weather evaluations using a helium$-$filled

spherical balloon with a radius of $12$ inches. The balloon and associated instrumentation weigh

$0\mathrm{.}1$lb$\_($f$).$ Determine the terminal ascent velocity of the balloon if the air temperature is $60\backslash$deg F$.$

The terminal ascent velocity is based on when the balloon's velocity is constant $($no

acceleration$).$ The volume of the balloon is

Volume $\_(()$Sphere $)=(4)/(3)\backslash$pi r$^(3)$

temperature of $60\backslash$deg F to determine the air properties. The problem where r is the radius. Use a

limit the number of iterations to $2$ and make sure you explain the solution process and the

equations required. Although not required creating a free$-$body diagram may make solving the

problem easier. Do not spend time trying to create the final numerical solution.