Question

Find the surface area of a sphere with a volume of 36π in^3

Answer 1

    Volume of a Sphere = $\frac{4}{3}$πr³

⇒  $\frac{4}{3}$πr³  =  36π in³
by comparing the left and right hand side

⇒ $\frac{4}{3}$ r³ = 36

⇒   r = ∛(36 ÷  $\frac{4}{3}$)
     
      r = 3

Now,
  the surface area of a sphere = 4 πr²
⇒  surface area of a sphere = 4 × (3)² × π
                                             = 36π in²