The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)
1 answer:
radius = 3 feet
rearrange the formula making r the subject
πr³ = V ( multiply both sides by 3 to eliminate fraction )
4πr³ = 3V ( divide both sides by 4π )
r³ = 
= ( 3 × 36π ) / 4π = 3 × 9 = 27
take the cube root of both sides
r = ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
= 3
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