The surface area of a sphere is given by the equation AS = 4π * r ^ 2. For this formula, r equals the radius of the sphere
We have then that
a1 = 4π * r1 ^ 2
a2 = 4π * r2 ^ 2
r2 = 2.71r1
Then, dividing the areas
a2 / a1 = (4π * (2.71r1) ^ 2) / (4π * r1 ^ 2) = (7.3441 / 1) * (r1 ^ 2 / r1 ^ 2) = 7.3441
answer
the ratio of the areas a2 / a1 is 7.3441
