Given that radius of each of smaller ball = 1/4 Radius of original ball.
Let radius of smaller ball be r.
Radius of bigger ball be 4r
Curved surface area of sphere = 4r2
Surface area of big ball (S1) = 4π(4r)2 ....…(3)
Surface area of each small ball (S2) = 4πr2
Total surface area of 64 small balls
Therefore, Total surface area of small balls is equal to 4 times surface area of big ball.