2 questions

1.) (5 pts.) A spherical balloon is inflated and its volume increases at a rate of 15 in 3/min. What is the rate of change of its radius when the radius is 10 in? 2.) A hemispherical tank with a radius of 10 m is filled from an inflow pipe at a rate of 3 m^3/min. How fast is the water level rising when the water level is 5 m from the bottom of the tank? Hint: The volume of a cap of thickness h sliced from a sphere of radius r is V = Tth2(3r-h) 3