A spherical helium-filled weather balloon has a radius of \(1.10 \mathrm{~m}\). (a) Does the buoyant force on the balloon depend on (1) the density of helium, (2) the density of air, or (3) the weight of the rubber "skin"? \(\left[ho_{\text {air }}=1.29 \mathrm{~kg} / \mathrm{m}^{3}\right.\) and \(ho_{\mathrm{He}}=0.180 \mathrm{~kg} / \mathrm{m}^{3}\).] (b) Compute the magnitude of the buoyant force on the balloon. (c) The balloon's rubber skin has a mass of \(1.20 \mathrm{~kg}\). When released, what is the magnitude of the balloon's initial acceleration if it carries a payload with a mass of \(3.52 \mathrm{~kg}\)?