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The sphere’s perimeter without adding the 3ft will be P1 = 2 x pi x R1, where R1 is the radius
After adding the 3ft, the spheres perimeter P2 = 2 x pi x R2
What we want to know is the value of R2 – R1 and we will call that D
D = R2 – R1
D = ( P2 / 2 x pi ) – ( P1 / 2 x pi)
D = ((P1 + 3) / 2 x pi) – (P1 / 2 x pi)
D = (P1 – P1 + 3) / 2 x pi
D = 3 / 2 x 3.14
D = 0.16 ft