A gold sphere of radius R=100 μm and density 19g/cm^3 falls through water. Given the viscosity of water is about 10^-3​ Pa s and the density of water is 1.0g/cm^3, calculate the terminal velocity of the sphere. The viscous drag coefficient for a sphere is α=6π.

Don't forget to consider the buoyant force on the sphere when calculating net force!