Volume of a Sphere = [tex] \frac{4}{3} [/tex]πr³
⇒ [tex] \frac{4}{3} [/tex]πr³ = 36π in³
by comparing the left and right hand side
⇒ [tex] \frac{4}{3} [/tex] r³ = 36
⇒ r = ∛(36 ÷ [tex] \frac{4}{3} [/tex])
r = 3
Now,
the surface area of a sphere = 4 πr²
⇒ surface area of a sphere = 4 × (3)² × π
= 36π in²