A sphere has a volume of $\frac{500\pi}{3}$ cm³. Find the radius of the sphere.
A5 cmCORRECT
B10 cm
C25 cm
D15 cm
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
Volume of sphere = (4/3)πr³, so (4/3)πr³ = (500π/3). Dividing both sides by π: (4/3)r³ = 500/3, giving r³ = (500/3) × (3/4) = 125. Therefore r = ∛125 = 5 cm. Candidates who confuse the formula or fail to cube-root correctly arrive at the other options.
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