What is the diameter of a sphere with a volume of 288 pi? Also can you show me the work

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The volume of a sphere is 4/3(pi)r^3 V=4/3(pi)r^3 288(pi)=4/3(pi)r^3 Divide both sides by pi 288=4/3r^3 Multiply both sides by 3 to remove the lcd of 4/3 864=4r^3 Divide both sides by 4 216=r^3 Cube root both sides 6=r Therefore the r or the radius is 6 The diameter is always 2 times the radius d=2r d=2(6) d=12 Hope this helps ^_^

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