Surface Area = 4πr^2
So, for sphere A, the surface area is 4πrA^2, and for sphere B, the surface area is 4πrB^2.
Now, according to the problem, the surface area of sphere A is 0.36 times that of sphere B. Mathematically, we can represent this as:
4πrA^2 = 0.36 * 4πrB^2
Simplifying this equation, we can cancel out the common terms:
rA^2 = 0.36 * rB^2
To find the ratio of the radii, we take the square root of both sides:
rA = 0.6 * rB
Therefore, the radius of sphere A is 0.6 times the radius of sphere B.