A boat having a mass of 80,000 kg rests on the bottom of the lake and displaces 12.25 m3 of water. Since the lifting capacity of the crane is only 600 kN, two balloons are attached to the sides of the boat and filled with air. Determine(a) the smallest radius r (in m) of each spherical balloon that is needed to lift the boat Answer (write the answer up to three decimal digits)(a) the tension (in kN) of the cable tied to each balloon Answer Neglect the mass of air and of the balloon for the calculation required for the lift. Take g = 9.81 m/s2 and ρwater = 1000 kg/m3.