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Natalija [7]
3 years ago
5

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

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0
    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

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