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

User Jetru
by
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1 Answer

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Volume of a Sphere =
(4)/(3)πr³


(4)/(3)πr³ = 36π in³
by comparing the left and right hand side


(4)/(3) r³ = 36

⇒ r = ∛(36 ÷
(4)/(3))

r = 3

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

User Dojuba
by
8.7k points

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