math
a sphere has a volume of 500/3 pi cubic centimeters. What is the total surface area, in sqaure cntimeters, of the square?
A. 25 pi
B. 40 pi
C. 100 pi
D. 400 pi
Please show your work. im very confused :(
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Answers
A sphere's surface area is equal to 4πr², where r is the radius of the sphere. Volume of sphere = 500/3π cubic centimeters 500/3π = (4/3)πr³ r³ = 500/4 r = ∛(500/4) Substituting this for r in 4πr² 4π(∛(500/4))² = 400π cm² Answer: D. 400 pi
