The surface area of a sphere can be calculated using Area = 4 x Pi x r^2. Since we know the surface are of the first sphere is 4m^2, we can write: 4 = 4 x Pi x r^2. This simplifies to r^2 = 0.318. Taking the square root we find that r = 0.564m. The radius of the larger sphere is therefore 2 x 0.564 = 1.128m. Using the formula for the volume of a sphere: (4/3) x Pi x r^3, we can calculate the volume of the second sphere to be 6.018m^3