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The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

User Nnog
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1 Answer

3 votes

radius = 3 feet

rearrange the formula making r the subject


(4)/(3) πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ =
(3V)/(4\pi ) = ( 3 × 36π ) / 4π = 3 × 9 = 27

take the cube root of both sides

r =
\sqrt[3]{27} = 3


User Kyle Burriss
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